Important: All the papers below are available only in preprint-version,

which may differ from the final (published) one.

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-- Cell 2-representations of finitary 2-categories, coauthor V.Miemietz,  

Compositio Mathematica 147 (2011), 1519-1545,  pdf

-- Cuspidal sl_n-modules and deformations of certain Braur tree algebras, 

coauthor  C.Stroppel, Adv. Math. 228 (2011), 1008-1042, pdf

-- On Kiselman quotients of 0-Hecke monoids, coauthor  O. Ganyuskkin,
 
Int. Electron. J. Algebra 10 (2011), No. 2, 174-191,  pdf

-- Blocks of the category of cuspidal sp_{2n}-modules, 

coauthor  C.Stroppel, Pacific J. Math. 251 (2011), No. 1, 183-196, pdf

-- Supports of weight modules over Witt algebras, coauthor K.Zhao

Proc. of the Royal Soc. Edinb. Ser. A (Math.), 141 (2011), 155-170, pdf

-- Blocks and modules for Whittaker pairs, coauthor P.Batra,

J. Pure Appl. Algebra  215 (2011), no 7, 1552-1568,  pdf

-- On selfadjoint functors satisfying polynomial relations

coauthor T.Agerholm,  J. Algebra 330 (2011), no 1, 448-467 pdf

-- Classification of simple q_2-supermodules, Tohoku Math. J. 62 (2010), no 3, 401-426, pdf.

-- Idempotent subquotients of symmetric quasi-hereditary algebras, 

coauthor V.Miemietz, Illinois J. Math. 53 (2009), no. 3, 373-756, pdf.

-- Koszul duality for stratified algebras II. Properly stratified algebras, 

J. Australian Math. Soc. 89 (2010), 23-49,  pdf.

-- Some homological properties of the category O, II, 

Representation Theory 14 (2010), p. 249-263, pdf.

-- A new approach to Kostant's problem, coauthor J.Kåhrström, Algebra 

and Number Theory 4 (2010), No. 3, 231-254, pdf.

-- A combinatorial approach to functorial quantum sl_k knot invariants,

coauthor C.Stroppel,  American J. Math. 131 (2009), 1679-1713,   pdf.

-- Koszul duality for stratified algebras I. Balanced quasi-hereditary algebras, 

Manuscripta Mathematica 131 (2010), 1-10, pdf.

-- Simple modules over factorpowers, Acta Sci. Math (Szeged) 75 (2009), 467-485, pdf.

-- Applications of the category of linear complexes of tilting modules associated

with the category O, Algebras and Rep. Theory 12 (2009), No. 6, 489-512, pdf.

-- A brief review of abelian categorifications, coauthors M.Khovanov

and C.StroppelTheory Appl. Categories 22 (2009), 479-508, pdf.

-- On Kiselman's semigroup, coauthor G.Kudryavtseva, Yokohama Math. J.

55 (2009), 21-46, pdf.

-- Combinatorial Gelfand model for some semigroups and q-rook monoid 

algebras, coauthor  G.Kudryavtseva,  Proc. Edinb. Math. Soc. 52 (2009), 707-718, pdf.

-- On the irreducible representations of a finite semigroups, coauthors

O.Ganyushkin and B.Steinberg, Proc. AMS 137 (2009), No. 11, 3585-3592, pdf.

-- Regular strongly typical blocks of O^q, coauthr A.Frisk,

Commun. Math. Phys. 291 (2009), 533-542, pdf.

-- On three approaches to conjugacy in semigroups, coauthor G.Kudryavtseva

Semigroup Forum 78 (2009), 14-20, pdf.

-- Quadratic duals, Koszul dual functors and applications, coauthors S.Ovsienko

and C.Stroppel, Trans. AMS  361 (2009), 1129-1172, pdf.

-- Partialization of categories and inverse braid-permutation monoid, coauthor 

G.Kudryavtseva, Intern. J. Algebra and Comp. 18 (2008), No. 6, 989-1017,  pdf

-- Multicommutators and multianticommutators of orthogonal projections, coauthor

S.Rabanovich,  Lin. Multilin. Alg. 56 (2008), No. 6, 639-646, pdf.

-- Categorification of (induced) cell modules and the rough structure of generalized

Verma modules, coauthor C.Stroppel,  Adv. Math. 219 (2008), 1363-1426, pdf.

-- On classification of maximal nilpotent subsemigroups, coauthor O.Ganyushkin,

J. Algebra 320 (2008), 3081-3103, pdf.

-- Categorification of Wedderburn's basis for C[S_n], coauthor C.Stroppel,

Arch. Math. 91 (2008), 1-11, pdf.

-- Projective-injective modules, Serre functors and symmetric algebras, coauthor

C.StroppelJ. Reine Angew. Math. 616 (2008), 131-165, Uppsala University, pdf.

-- Schur-Weyl dualities for symmetric inverse semigroups,

coauthor G.KudryavtsevaJ. Pure Applied Algebra 212 (2008), 1987-1995, pdf

-- Isolated subsemigroups in the variants of T_n, coauthor G.Tsyaputa, Acta Math. 

Univ. Comen. 77 (2008), No. 1, 63-84,  Uppsala University, pdf.

--  Faithful group actions on rooted trees induced by actions of quotients, coauthors

Y.Lavrenyuk, A.Oliynyk and V.Sushchansky, Comm. Algebra 35 (2007), 3759-3775, pdf.

-- A categorification of integral Specht module, coauthors M.Khovanov

and C.Stroppel, Proc. AMS 136 (2008), 1163-1169., pdf.

-- On the semigroup of square matrices, coauthor G.Kudryavtseva,

Algebra Colloq. 15 (2008), No. 1, 33-52,  pdf.

-- Some homological properties of the category O, Pacif. J. Math. 232 (2007),

No. 2, 313-341,  pdf.

-- Presentation of the singular part of the Brauer monoid, coauthor V.Maltcev,

Math. Bohemica 132 (2007), No. 3, pp. 297-323, pdf.

-- On nilpotent subsemigroups in some matrix semigroups, coauthor O.Ganyushkin,

Serdica Math. J. 33 (2007), 287-300, pdf.

-- Koszul duality for extension algebras of standard modules, coauthor

Yu.Drozd, J. Pure Appl . Alg. 211 (2007), 484-496,  pdf.

-- On functors associated to a simple root , coauthor C.Stroppel

J. Algebra 314 (2007), 97-128,  pdf.

-- On conjugation in some transformation and Brauer-type semigroups,

coauthor  G.Kudryavtseva, Publ. Math. Debrecen 70 (2007), 19-43, pdf.

-- Classification of simple weight Virasoro modules with a finite-dimensional

weight space, coauthor K.Zhao, J. Algebra 307 (2007), 209-214,  pdf.

-- Representation type of  \infty^l_H_m^1, coauthor Yu.Drozd,

Quart. J. Math. 57 (2006), 319-338, pdf.

-- On presentations of Brauer-type monoids, coauthor G.Kudryavtseva,

Central Europ. J. Math. 4 (2006), no. 3, 413-434, pdf.

-- L- and R- cross-sections in the Brauer semigroup, coauthors

G.Kudryavtseva and V.Maltcev, Semigroup Forum 72 (2006), 223-248, pdf.

-- A pairing in homology and the category of linear tilting complexes for a

quasi-hereditary algebra, coauthor S.Ovsienko,  with an appendix written

by C.Stroppel, J. Math. Kyoto Univ. 45 (2005), 711-741, pdf.

-- A twisted approach to Kostant's problem, Glasgow Math. J.

47 (2005) 549-561, pdf.

-- Combinatorics and distributions of partial injections, coauthor

O.Ganyushkin, Australasian Journal of Combinatorics 34 (2006), 161-186,  pdf.

-- Properly stratified algebras and tilting, coauthor A.Frisk, Proc. LMS

(3) 92 (2006), 29-61,  pdf.

-- Some remarks on the combinatorics of IS_n, coauthor S.Janson,

Semigroup Forum 70 (2005), no. 3, 391-405, pdf.

-- On simple mixed modules over the Virasoro algebra, Mat. Studii

22 (2004), n. 2, 121-128,  pdf.

-- Translation and shuffling of projectively presentable modules and a

categorification of a parabolic Hecke module, coauthor

 C.Stroppel, Trans. AMS 357 (2005), 2939-2973,  pdf.

-- Virasoro-type algebras associated with higher-rank aperiodic point

sets, coauthor R.Twarock,  in: Quantum Theory and Symmetries, Proceedings

of the 3rd International Symposium, Cincinnati, USA, 10-14 September, 2003,

edited by P.C.Argyres et al., World Scientific, 2004, pp. 99-104,  pdf.

-- Finitistic dimension and tilting modules for stratified algebras, coauthors

O.Khomenko and S.König, J.Algebra 286 (2005), 456-475,  pdf.

-- On Arkhipov's and Enright's functors, coauthor O.Khomenko,

Math. Z. 249 (2005), 357-386,  pdf.

--  *-Representation type of *-doubles of finite-dimensional algebras

coauthor L.Turowska,  Proc. Edinburgh Math. Soc. 47 (2004), 669-678,  pdf.

-- On finitistic dimension of stratified algebras, Alg. and Discrete Math.

3 (2004), no. 3, 77-88, pdf.

-- Radical *-doubles of finite-dimensional algebras, coauthor L.Turowska,

Linear Alg. Appl. 390 (2004), 293-309,  pdf.

-- Combinatorics of nilpotents in Symmetric inverse semigroups,  coauthor

O.Ganyushkin, Annals of Combinatorics 8 (2004), 161-175, pdf.

-- Finitistic dimension of properly stratified algebras (extended version),

coauthor S.Ovsienko, Adv. Math. 186 (2004), 251-265, pdf.

-- Stratified algebras arising in Lie theory, in: V.Dlab, C.M.Ringel, eds., Representations

of finite-dimensional algebras and related topics in Lie theory and geometry, Fields

Institute Communications, Volume 40 (2004), 245-260, pdf.

-- On the relation between finitistic and good filtration dimensions (revised version),

coauthor  A.Parker, Comm. Alg. 32 (2004), no. 5, 1903-1917, pdf.

-- Complete reducibility of torsion free $C_n$-modules of finite degree,  coauthors 

D.Britten, O.Khomenko, F.Lemire,  J.Algebra 276 (2004), 129-142,  pdf.

-- Structure of modules induced from simple modules with minimal annihilator,

coauthor O.Khomenko,  Canad. J. Math. 56 (2004),  No. 2, 293-309,  pdf.

-- On the radical of $\mathcal{FP}^+(S_n)$, coauthor O.Ganyushkin,

Mat. Studii 20 (2003), n. 1, 17-26, pdf.

-- $\mathcal{L}$- and $\mathcal{R}$-cross-section in $\mathcal{IS}_n$ (revised

version),  coauthor O.Ganyushkin, Comm. Alg. 31 (2003), 4507-4523, pdf.

-- Virasoro-type algebras associated with a Penrose tiling, coauthor R.Twarock,

J. Phys. A: Math. Gen. 36 (2003), 4363-4373, pdf.

-- Some associative algebras, related to $U(g)$ and twisted generalized Weyl algebras,

coauthors M.Ponomarenko and L.Turowska, Math. Scandinavica 92 (2003), no. 1,

5-30,  pdf

-- On the structure of $\mathcal{IO}_n$ (revised version), coauthor O.Ganyushkin,

Semigroup Forum 66 (2003), 455-483,  pdf.

-- Quantum deformation and tableaux realization of simple dense $gl(n,C)$-modules,

Journal of Algebra and Its Applications Vol. 2, No. 1 (2003) 1-20 , pdf.

-- Twisted and shuffled filtrations on tilting modules, Math. Reports of the Academy of

Science of the Royal Society of Canada 25, n. 1 (2003), 26-32, pdf.

-- $\sigma$-unitarizability of simple weight modules, coauthor L.Turowska,

Proc. Int. Conf. "Information Processes of formation of Open Systems", Vologda,,

26-28 June, 2001, 253-257, pdf.

-- Endomorphisms of $B_n$, $PB_n$ and $C_n$, revised version, Comm. Alg. 30 (2002),

3489-3513, pdf.

--  Categories of induced modules and standardly stratified algebras, coauthors S.König

and   V.Futorny, Alg. and Rep. Theory 5 (2002), 259-276, pdf.

--  An equivalence of two categories of sl(n,C)-modules (revised version), couauthor

S.König, Algebras and Rep. Theory 5 (20002), 319-329, pdf.

-- On multiplicities of simple subquotients in generalized Verma modules, coauthor

O.Khomenko, Czech. Math. J. 52 (2002), 337-343, pdf.

-- Parabolic decomposition for properly stratified algebras (revised version), coauthor

M.Klucznik, JPAA 171 (2002), 41-58, pdf.

-- *-representations of twisted generalized Weyl constructions, coauthor L.Turowska,

Alg. Rep. Theory 5 (2002), 163-186, pdf.

-- On quasicrystal Lie algebras, J. Math. Phys. 43 (2002), 2791-2801, pdf.

--  Enright's completions and injectively copresented modules, coauthor

S.König, Trans. AMS 354 (2002), 2725-2743, pdf.

-- Green's relations on $FP^+(S_n)$, Mat. Studii 15 (2001), 151-155, pdf.

-- Rigidity of generalized Verma modules, coauthor O.Khomenko, Colloq. Math. 92 (2002),

no. 1, 45-57, pdf.

-- Involutions on generalized Weyl algebras preserving the principal grading, coauthor

L.Turowska, Rep. Math. Phys. 48 (2001), 343-351, pdf.

-- On an analogue of BGG-reciprocity, coauthor X.Gomez, Commun. Algebra

29 (2001), 5329-5334, pdf.

-- A combinatorial description of blocks in O(P,L) associated with sl(2)-induction, coauthors

S.König and V.Futorny,  J. Algebra 231 (2000), no. 1, 86--103. ,  pdf.

-- S-subcategories in O, coauthors S.König and V.Futorny,   Manuscripta Math. 102 (2000),

no. 4, 487--503,  pdf.

-- Categories of induced modules for Lie algebras with triangular decomposition, coauthors

S.König and V.Futorny,  Forum Math.  13 (2001), no. 5, 641--661,  pdf.

-- The coinvariant algebra and representation types of blocks of category O, coauthors

S.König and T.Bruestle, Bull. LMS 33 (2001), 669-681, pdf.

--  On Gelfand-Zetlin modules over orthogonal Lie algebras, Algebra Colloq.

8 (2001), no 3, 345-360, pdf.

-- Existence and unicity of $\sigma$-forms on finite-dimensional modules, coauthor

L.Turowska, Meth. Funct. Anal. Top. 7 (2001), 53-62, pdf.

-- Generalized Verma Modules, Mathematical Studies Monograph Series, 8.

VNTL Publishers, Lviv, 2000. 182 pp. ISBN: 966-7148-90-4, pdf,

-- Generalized Verma modules induced from $sl(2,C)$ ans associated Verma modules,

coauthor O.Khomenko, J.Algebra 242 (2001), 561-576, pdf.

-- On categories of Gelfand-Zetlin modules, Proc. NATO ARW "Noncommutative

structures in Mathematics and Physics", Kyiv, 2000, NATO Sci. Series,

II. Mathematics, Physics and Chemistry - Vol. 22, 299-309, pdf.

-- A note on centralizers in q-deformed Heisenberg algebras, AMA 3 (2001), paper 2,

electronic, pdf

-- Schubert filtration for simple subquotients of generalized Verma modules, coauthor

O.Khomenko, Arkiv för Math. 38 (2000), 319-326, pdf.

-- Simple weight modules over twisted generalized Weyl algebras, coauthor L.Turowska,

Comm. Alg., 27 (1999), 2613-2625,  pdf.

-- On Gelfand-Zetlin modules over $U_q(gl(n))$, coauthor L.Turowska, Czech. J. Phys.

50 (2000), 139-144, pdf.

-- On the structure of Brauer semigroup and its partial analogue, Problems in Algebra,

13 (1998), 29-45, pdf.

-- A note on simplicity of generalized Verma modules, coauthor O.Khomenko, Comment.

Math. Univ. Sancti Pauli, 48 (1999), 145-148, pdf.

-- On the determinant of Shapovalov form for generalized Verma modules, coauthor

O.Khomenko, J.Algebra 215 (1999), 391-402, pdf.

-- Highest weight categories of Lie algebra modules, coauthor V.Futorny, J. Pure Appl.

Alg. 138 (1999), 107-118, pdf.

-- BGG-resolution for $\alpha$-stratified modules over simply-laces finite-dimensional

Lie algebras, coauthor V.Futorny, J. Math. Kyoto Univ. 38 (1998), 229-240, pdf.

-- Structure of $\alpha$-stratified modules for finite-dimensional Lie algebras, I, coauthor

V.Futorny, J. Alg. 183 (1996), 456-482,  pdf.

-- Orthogonal Gelfand-Zetlin algebras, I, Contrib. Alg. Geom. 40 (1999), 399-415, pdf.

-- The supports of simple modules over toroidal algebras, J. Lie Theory 9 (1999), 361-367, pdf.

-- Tableaux realization of generalized Verma modules, Can. J. Math. 50 (1998), 816-828, pdf.

-- On simple modules over q-analogue for the Virasoro algebra, Hadronic J.  21 (1998),

no. 5, 541-550, pdf.

-- Submodule structure of generalized Verma modules induced from generic Gelfand-

Zetlin modules, coauthor S.Ovsienko, Alg. Repr. Theory 1 (1998), 3-26,  pdf.