Ko, Hankyung; Mazorchuk, Volodymyr Graded extensions of Verma modules. (English) Zbl 07957636 Math. Proc. Camb. Philos. Soc. 177, No. 2, 285-311 (2024). MSC: 17B10 17B35 17B55 16W70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ko, Hankyung; Mazorchuk, Volodymyr; Mrđen, Rafael Join operation for the Bruhat order and Verma modules. (English) Zbl 07940931 Isr. J. Math. 263, No. 2, 627-691 (2024). MSC: 20Cxx 20Gxx 68Wxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr Simple modules for untwisted affine Lie algebras induced from nilpotent loop subalgebras. (English) Zbl 07940207 Indag. Math., New Ser. 35, No. 6, 1138-1148 (2024). MSC: 17-XX 16-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, Vanessa Applying projective functors to arbitrary holonomic simple modules. (English) Zbl 07900387 J. Lond. Math. Soc., II. Ser. 110, No. 2, Article ID e12965, 29 p. (2024). Reviewer: Lukas Bonfert (Bonn) MSC: 17B10 16G99 18N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Artemovych, O. D.; Bavula, V. V.; Bezushchak, O. O.; Bondarenko, V. M.; Dlab, V.; Drensky, V. S.; Drozd, Yu. A.; Futorny, V. M.; Grigorchuk, R. I.; Koppitz, J. H.; Kurdachenko, L. A.; Lukashova, T. D.; Lyubashenko, V. V.; Marciniak, Z. S.; Mazorchuk, V. S.; Nekrashevych, V. V.; Oliynyk, A. S.; Oliynyk, B. V.; Olshanskii, A. Yu.; Petravchuk, A. P.; Pilz, G. F.; Pratsiovytyi, M. V.; Protasov, I. V.; Pypka, O. O.; Shestakov, I. P.; Semko, M. M.; Subbotin, I. Ya.; Varbanets, P. D.; Zatorsky, R. A.; Zelmanov, E. I.; Zhuchok, Yu. V. Anatolii V. Zhuchok. To the 50th anniversary. (English) Zbl 1540.01008 Algebra Discrete Math. 37, No. 1, C-G (2024). MSC: 01A70 × Cite Format Result Cite Review PDF Full Text: DOI
Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, Vanessa Kostant’s problem for fully commutative permutations. (English) Zbl 07835931 Rev. Mat. Iberoam. 40, No. 2, 537-563 (2024). MSC: 17B10 18N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ahmed, Chwas; Martin, Paul; Mazorchuk, Volodymyr Tonal partition algebras: fundamental and geometrical aspects of representation theory. (English) Zbl 1530.20034 Commun. Algebra 52, No. 1, 233-271 (2024). MSC: 20C20 20C30 16G10 05E10 57K16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Srivastava, Shraddha Multiparameter colored partition category and the product of the reduced Kronecker coefficients. (English) Zbl 1527.18018 J. Pure Appl. Algebra 228, No. 3, Article ID 107524, 60 p. (2024). Reviewer: Peeter Normak (Tallinn) MSC: 18M05 05E05 05A18 20M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Zhu, Xiaoyu Combinatorics of infinite rank module categories over finite dimensional \(\mathfrak{sl}_3\)-modules in Lie-algebraic context. arXiv:2501.00291 Preprint, arXiv:2501.00291 [math.RT] (2024). × Cite Format Result Cite Full Text: arXiv OA License
Creedon, Samuel; Mazorchuk, Volodymyr Almost all permutations and involutions are Kostant negative. arXiv:2411.13043 Preprint, arXiv:2411.13043 [math.RT] (2024). × Cite Format Result Cite Full Text: arXiv OA License
Mazorchuk, Volodymyr; Zhu, Xiaoyu Infinite rank module categories over finite dimensional \(\mathfrak{sl}_2\)-modules in Lie-algebraic context. arXiv:2405.19894 Preprint, arXiv:2405.19894 [math.RT] (2024). × Cite Format Result Cite Full Text: arXiv OA License
Mazorchuk, Volodymyr Some homological properties of category \(\mathcal{O}\), VII. arXiv:2403.05258 Preprint, arXiv:2403.05258 [math.RT] (2024). × Cite Format Result Cite Full Text: arXiv OA License
Bavula, V.; Bezushchak, O.; Bondarenko, Ie.; Dlab, V.; Drozd, Yu.; Futorny, V.; Grigorchuk, R.; Haiduk, V.; Kurdachenko, L.; Lyubashenko, V.; Maksymenko, S.; Mazorchuk, V.; Oliynyk, A.; Oliynyk, B.; Olshanskii, A.; Petravchuk, A.; Protasov, I.; Rassadkina, M.; Shapochka, I.; Shchedryk, V.; Shestakov, I.; Subbotin, I.; Tylyshchak, O.; Zelmanov, E.; Zhuchok, A.; Zhuchok, Yu.; Zubaruk, O. Vitaliy M. Bondarenko. To the 75th anniversary. (English) Zbl 1534.01010 Algebra Discrete Math. 36, No. 1, C-J (2023). MSC: 01A70 × Cite Format Result Cite Review PDF Full Text: Link
Jonsson, Helena; Mazorchuk, Volodymyr; Westin, Elin Persson; Srivastava, Shraddha; Stroinski, Mateusz; Zhu, Xiaoyu Finite quotients of singular Artin monoids and categorification of the desingularization map. (English) Zbl 1529.17014 J. Korean Math. Soc. 60, No. 6, 1255-1302 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 20F36 20M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, Vanessa; Tubbenhauer, Daniel; Zhang, Xiaoting Simple transitive 2-representations of Soergel bimodules for finite Coxeter types. (English) Zbl 1522.18033 Proc. Lond. Math. Soc. (3) 126, No. 5, 1585-1655 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18D25 16D20 18A50 18N25 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Chih-Whi; Cheng, Shun-Jen; Mazorchuk, Volodymyr Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras. (English) Zbl 1523.17016 Commun. Math. Phys. 401, No. 1, 717-768 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 22E99 16G99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ko, Hankyung; Mazorchuk, Volodymyr \(2\)-representations of small quotients of Soergel bimodules in infinite types. (English) Zbl 1516.18003 Proc. Am. Math. Soc. 151, No. 6, 2277-2290 (2023). MSC: 18D25 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ko, Hankyung; Mazorchuk, Volodymyr; Mrden, Rafael Some homological properties of category \(\mathcal{O},V\). (English) Zbl 1515.17019 Int. Math. Res. Not. 2023, No. 4, 3329-3373 (2023). Reviewer: YangGon Kim (Jeonju) MSC: 17B10 17B20 18N10 18C10 20G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Chih-Whi; Mazorchuk, Volodymyr Some homological properties of category \(\mathcal{O}\) for Lie superalgebras. (English) Zbl 1510.17014 J. Aust. Math. Soc. 114, No. 1, 50-77 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B55 16E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Srivastava, Shraddha Kronecker coefficients for (dual) symmetric inverse semigroups. arXiv:2310.15537 Preprint, arXiv:2310.15537 [math.RT] (2023). × Cite Format Result Cite Full Text: DOI arXiv OA License
Mazorchuk, Volodymyr The tale of Kostant’s problem. arXiv:2308.02839 Preprint, arXiv:2308.02839 [math.RT] (2023). × Cite Format Result Cite Full Text: arXiv OA License
Mazorchuk, Volodymyr; Srivastava, Shraddha Kostant’s problem for parabolic Verma modules. arXiv:2301.07090 Preprint, arXiv:2301.07090 [math.RT] (2023). × Cite Format Result Cite Full Text: arXiv OA License
Ko, Hankyung; Mazorchuk, Volodymyr On first extensions in \(\mathcal{S}\)-subcategories of \(\mathcal{O}\). (English) Zbl 1536.17015 Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the workshop, Sofia, Bulgaria, online, June 2021. Singapore: Springer. Springer Proc. Math. Stat. 396, 129-150 (2022). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B20 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Mrđen, Rafael \( \mathfrak{s} \mathfrak{l}_2\)-Harish-Chandra modules for \(\mathfrak{s} \mathfrak{l}_2 \ltimes L(4)\). (English) Zbl 1507.17016 J. Math. Phys. 63, No. 2, Article ID 021701, 21 p. (2022). MSC: 17B10 17B20 17B35 22E60 05E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Tenner, Bridget Eileen Intersecting principal Bruhat ideals and grades of simple modules. (English) Zbl 1529.20064 Comb. Theory 2, No. 1, Paper No. 14, 31 p. (2022). MSC: 20F55 06A07 05E16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Srivastava, Shraddha Jucys-Murphy elements and Grothendieck groups for generalized rook monoids. (English) Zbl 1509.05182 J. Comb. Algebra 6, No. 1-2, 185-222 (2022). MSC: 05E10 20M30 20C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Mrðen, Rafael Lie algebra modules which are locally finite and with finite multiplicities over the semisimple part. (English) Zbl 1505.17007 Nagoya Math. J. 246, 430-470 (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B30 05E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Persson Westin, Elin Essential orders on stratified algebras with duality and \(\mathcal{S}\)-subcategories in \(\mathcal{O}\). (English) Zbl 1501.16002 J. Pure Appl. Algebra 226, No. 10, Article ID 107083, 18 p. (2022). Reviewer: Hankyung Ko (Uppsala) MSC: 16D10 16E10 17B10 17B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ko, Hankyung; Mazorchuk, Volodymyr; Zhang, Xiaoting Adjunction in the absence of identity. (English) Zbl 1481.18026 Appl. Categ. Struct. 30, No. 1, 123-172 (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 18N10 17B10 16G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Vishnyakova, Elizaveta Harish-Chandra modules over invariant subalgebras in a skew-group ring. (English) Zbl 1484.14093 Asian J. Math. 25, No. 3, 431-454 (2021). Reviewer: Mee Seong Im (Annapolis) MSC: 14M10 16W70 17B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, Vanessa; Tubbenhauer, Daniel; Zhang, Xiaoting Finitary birepresentations of finitary bicategories. (English) Zbl 1493.18021 Forum Math. 33, No. 5, 1261-1320 (2021). Reviewer: Intan Muchtadi-Alamsyah (Bandung) MSC: 18N10 18E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ko, Hankyung; Mazorchuk, Volodymyr; Mrden, Rafael Some homological properties of category \(\mathcal{O}\). VI. (English) Zbl 1486.16008 Doc. Math. 26, 1237-1269 (2021). Reviewer: Flávio Ulhoa Coelho (São Paulo) MSC: 16E10 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr Categorification. (English) Zbl 1465.57059 Adams, Colin (ed.) et al., Encyclopedia of knot theory. Boca Raton, FL: CRC Press. 723-731 (2021). MSC: 57K10 57-02 × Cite Format Result Cite Review PDF
Ko, Hankyung; Mazorchuk, Volodymyr; Mrđen, Rafael Bigrassmannian permutations and Verma modules. (English) Zbl 1479.17019 Sel. Math., New Ser. 27, No. 4, Paper No. 55, 24 p. (2021). Reviewer: Matthieu Josuat-Vergès (Paris) MSC: 17B10 05E10 20B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ahmed, Chwas; Martin, Paul; Mazorchuk, Volodymyr On the number of principal ideals in \(d\)-tonal partition monoids. (English) Zbl 1475.11221 Ann. Comb. 25, No. 1, 79-113 (2021). Reviewer: Ronnason Chinram (Hat Yai) MSC: 11Y55 20M20 05B45 11B83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Chih-Whi; Coulembier, Kevin; Mazorchuk, Volodymyr Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras. (English) Zbl 1486.17012 Math. Z. 297, No. 1-2, 255-281 (2021). Reviewer: Pasha Zusmanovich (Ostrava) MSC: 17B10 17B20 17B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Chih-Whi; Mazorchuk, Volodymyr Simple supermodules over Lie superalgebras. (English) Zbl 1457.17010 Trans. Am. Math. Soc. 374, No. 2, 899-921 (2021). Reviewer: Angelo Bianchi (São José dos Campos) MSC: 17B10 16E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Early, Nick; Mazorchuk, Volodymyr; Vishnyakova, Elizaveta Canonical Gelfand-Zeitlin modules over orthogonal Gelfand-Zeitlin algebras. (English) Zbl 1498.17024 Int. Math. Res. Not. 2020, No. 20, 6947-6966 (2020). MSC: 17B35 16S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Mrđen, Rafael BGG complexes in singular blocks of category \(\mathcal{O}\). (English) Zbl 1473.17028 J. Pure Appl. Algebra 224, No. 12, Article ID 106449, 25 p. (2020). Reviewer: Daniel Orr (Blacksburg) MSC: 17B10 17B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Zhang, Xiaoting Bimodules over uniformly oriented \(A_n\) quivers with radical square zero. (English) Zbl 1460.18021 Kyoto J. Math. 60, No. 3, 965-995 (2020). Reviewer: Ramón González Rodríguez (Vigo) MSC: 18N10 16D20 16G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, Vanessa; Zhang, Xiaoting Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations. (English) Zbl 1456.18016 J. Inst. Math. Jussieu 19, No. 6, 1793-1829 (2020). Reviewer: Mee Seong Im (West Point) MSC: 18N10 16G99 17B99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Miemietz, Vanessa; Zhang, Xiaoting 2-categories of symmetric bimodules and their 2-representations. (English) Zbl 1440.18046 Pac. J. Math. 306, No. 2, 645-678 (2020). MSC: 18N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Mazorchuk, Volodymyr; Miemietz, Vanessa; Zhang, Xiaoting Pyramids and 2-representations. (English) Zbl 1440.18045 Rev. Mat. Iberoam. 36, No. 2, 387-405 (2020). MSC: 18N10 16G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, Vanessa; Tubbenhauer, Daniel Trihedral Soergel bimodules. (English) Zbl 1485.20012 Fundam. Math. 248, No. 3, 219-300 (2020). MSC: 20C08 17B10 18M10 18N10 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Mazorchuk, Volodymyr; Söderberg, Christoffer Category \(\mathcal{O}\) for Takiff \(\mathfrak{sl}_2\). (English) Zbl 1475.17014 J. Math. Phys. 60, No. 11, 111702, 15 p. (2019). Reviewer: Charles Conley (Denton) MSC: 17B10 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, V.; Zhang, X. Simple transitive 2-representations for two nonfiat 2-categories of projective functors. (English) Zbl 1436.16017 Ukr. Math. J. 70, No. 12, 1873-1900 (2019) and Ukr. Mat. Zh. 70, No. 12, 1625-1649 (2018). Reviewer: Justyna Kosakowska (Toruń) MSC: 16G20 18N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coulembier, Kevin; Mazorchuk, Volodymyr; Zhang, Xiaoting Indecomposable manipulations with simple modules in category \(\mathcal{O}\). (English) Zbl 1472.17029 Math. Res. Lett. 26, No. 2, 447-499 (2019). MSC: 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Miemietz, Vanessa; Zhang, Xiaoting Characterisation and applications of \(\Bbbk\)-split bimodules. (English) Zbl 1420.18014 Math. Scand. 124, No. 2, 161-178 (2019). Reviewer: Marek Golasiński (Olsztyn) MSC: 18D05 13C10 16D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, Vanessa; Tubbenhauer, Daniel Simple transitive 2-representations via (co)algebra 1-morphisms. (English) Zbl 1472.18019 Indiana Univ. Math. J. 68, No. 1, 1-33 (2019). MSC: 18N10 16D90 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kildetoft, Tobias; Mackaay, Marco; Mazorchuk, Volodymyr; Zimmermann, Jakob Simple transitive 2-representations of small quotients of Soergel bimodules. (English) Zbl 1409.18005 Trans. Am. Math. Soc. 371, No. 8, 5551-5590 (2019). Reviewer: Dmitry Artamonov (Moskva) MSC: 18D05 16G10 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Chan, Aaron; Mazorchuk, Volodymyr Diagrams and discrete extensions for finitary 2-representations. (English) Zbl 1411.18008 Math. Proc. Camb. Philos. Soc. 166, No. 2, 325-352 (2019). Reviewer: Tobias Fritz (Waterloo) MSC: 18D05 17B10 20C20 16D90 16D70 20M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coulembier, Kevin; Mazorchuk, Volodymyr The \(G\)-centre and gradable derived equivalences. (English) Zbl 1436.16002 J. Aust. Math. Soc. 105, No. 3, 289-315 (2018). MSC: 16B50 16E35 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martin, Paul; Mazorchuk, Volodymyr Fiat categorification of the symmetric inverse semigroup \(IS_n\) and the semigroup \(F^*_n\). (English) Zbl 1398.18007 Semigroup Forum 96, No. 1, 142-159 (2018). Reviewer: Peeter Normak (Tallinn) MSC: 18D05 18B40 20M18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Zhao, Kaiming Graded simple Lie algebras and graded simple representations. (English) Zbl 1431.17016 Manuscr. Math. 156, No. 1-2, 215-240 (2018). MSC: 17B70 17B05 17B10 17B20 17B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Chih-Whi; Dubsky, Brendan Frisk; Jonsson, Helena; Mazorchuk, Volodymyr; Westin, Elin Persson; Zhang, Xiaoting; Zimmermann, Jakob Extreme representations of semirings. arXiv:1806.06501 Preprint, arXiv:1806.06501 [math.RT] (2018). × Cite Format Result Cite Full Text: arXiv OA License
Coulembier, Kevin; Mazorchuk, Volodymyr Some homological properties of category \(\mathcal{O}\). IV. (English) Zbl 1454.16006 Forum Math. 29, No. 5, 1083-1124 (2017). MSC: 16E30 17B10 16E10 17B56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr Classification problems in 2-representation theory. (English) Zbl 1388.18005 São Paulo J. Math. Sci. 11, No. 1, 1-22 (2017). Reviewer: Marek Golasiński (Olsztyn) MSC: 18D05 16D20 18C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Greenstein, Jacob; Mazorchuk, Volodymyr Koszul duality for semidirect products and generalized Takiff algebras. (English) Zbl 1510.16024 Algebr. Represent. Theory 20, No. 3, 675-694 (2017). Reviewer: Oleksandr Iena (München) MSC: 16S37 16W50 17B10 17B70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coulembier, Kevin; Mazorchuk, Volodymyr Dualities and derived equivalences for category \(\mathcal{O}\). (English) Zbl 1419.17012 Isr. J. Math. 219, No. 2, 661-706 (2017). MSC: 17B10 17B20 17B35 16E35 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grensing, Anna-Louise; Mazorchuk, Volodymyr Finitary 2-categories associated with dual projection functors. (English) Zbl 1364.18003 Commun. Contemp. Math. 19, No. 3, Article ID 1650016, 40 p. (2017). Reviewer: Jaak Henno (Tallinn) MSC: 18D05 16D20 20M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mackaay, Marco; Mazorchuk, Volodymyr Simple transitive 2-representations for some 2-subcategories of Soergel bimodules. (English) Zbl 1404.18013 J. Pure Appl. Algebra 221, No. 3, 565-587 (2017). Reviewer: S. Moskaliuk (Kyiv) MSC: 18D05 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Miemietz, Vanessa Endomorphisms of cell 2-representations. (English) Zbl 1404.18014 Int. Math. Res. Not. 2016, No. 24, 7471-7498 (2016). MSC: 18D05 16G10 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kildetoft, Tobias; Mazorchuk, Volodymyr Special modules over positively based algebras. (English) Zbl 1369.16016 Doc. Math. 21, 1171-1192 (2016). Reviewer: Hu Jun (Beijing) MSC: 16G10 20C08 18D05 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Mazorchuk, Volodymyr; Miemietz, Vanessa Transitive 2-representations of finitary 2-categories. (English) Zbl 1365.18006 Trans. Am. Math. Soc. 368, No. 11, 7623-7644 (2016). Reviewer: Alessandro Ardizzoni (Torino) MSC: 18D05 16G10 17B10 16D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Coulembier, Kevin; Mazorchuk, Volodymyr Primitive ideals, twisting functors and star actions for classical Lie superalgebras. (English) Zbl 1395.17023 J. Reine Angew. Math. 718, 207-253 (2016). MSC: 17B35 17B10 17B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kildetoft, Tobias; Mazorchuk, Volodymyr Parabolic projective functors in type \(A\). (English) Zbl 1365.17007 Adv. Math. 301, 785-803 (2016). Reviewer: Marek Golasiński (Olsztyn) MSC: 17B10 17B20 18N10 18C10 20G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Steinberg, Benjamin [Mazorchuk, V.] The global dimension of the full transformation monoid (with an appendix by V. Mazorchuk and B. Steinberg). (English) Zbl 1354.20037 Algebr. Represent. Theory 19, No. 3, 731-747 (2016). Reviewer: Jaak Henno (Tallinn) MSC: 20M30 16E10 20M25 16G99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Miemietz, Vanessa Morita theory for finitary 2-categories. (English) Zbl 1346.18009 Quantum Topol. 7, No. 1, 1-28 (2016). Reviewer: Ramón González Rodríguez (Vigo) MSC: 18D05 18G05 16D90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Stroppel, Catharina \(G(\ell,k,d)\)-modules via groupoids. (English) Zbl 1331.05230 J. Algebr. Comb. 43, No. 1, 11-32 (2016). MSC: 05E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Miemietz, Vanessa Isotypic faithful 2-representations of \(\mathcal J\)-simple fiat 2-categories. (English) Zbl 1375.18037 Math. Z. 282, No. 1-2, 411-434 (2016). MSC: 18D05 16G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coulembier, Kevin; Mazorchuk, Volodymyr Some homological properties of category \(\mathcal{O}\). III. (English) Zbl 1360.16004 Adv. Math. 283, 204-231 (2015). MSC: 16E30 17B10 16E10 17B56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming Classification of simple weight modules over the 1-spatial ageing algebra. (English) Zbl 1394.17019 Algebr. Represent. Theory 18, No. 2, 381-395 (2015). MSC: 17B10 17B30 17B80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming Simple weight modules over weak generalized Weyl algebras. (English) Zbl 1319.16021 J. Pure Appl. Algebra 219, No. 8, 3427-3444 (2015). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S32 16D60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kudryavtseva, Ganna; Mazorchuk, Volodymyr On multisemigroups. (English) Zbl 1333.20070 Port. Math. (N.S.) 72, No. 1, 47-80 (2015). Reviewer: Bijan Davvaz (Yazd) MSC: 20N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coulembier, Kevin; Mazorchuk, Volodymyr Extension fullness of the categories of Gelfand-Zeitlin and Whittaker modules. (English) Zbl 1331.17006 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 016, 17 p. (2015). MSC: 17B10 17B20 17B56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EMIS
Andersen, Henning Haahr; Mazorchuk, Volodymyr Category \(\mathcal O\) for quantum groups. (English) Zbl 1393.17025 J. Eur. Math. Soc. (JEMS) 17, No. 2, 405-431 (2015). Reviewer: Hu Jun (Beijing) MSC: 17B37 17B10 20G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr Parabolic category \(\mathcal O\) for classical Lie superalgebras. (English) Zbl 1365.17003 Gorelik, Maria (ed.) et al., Advances in Lie superalgebras. Proceedings of the conference ‘Lie superalgebras’, Rome, Italy, December 14–19, 2012. Cham: Springer (ISBN 978-3-319-02951-1/hbk; 978-3-319-02952-8/ebook). Springer INdAM Series 7, 149-166 (2014). MSC: 17B10 17B20 × Cite Format Result Cite Review PDF Full Text: DOI
Grensing, Anna-Louise; Mazorchuk, Volodymyr Categorification of the Catalan monoid. (English) Zbl 1311.20060 Semigroup Forum 89, No. 1, 155-168 (2014). Reviewer: Jaak Henno (Tallinn) MSC: 20M20 18D05 16G20 13F60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martin, Paul; Mazorchuk, Volodymyr On the representation theory of partial Brauer algebras. (English) Zbl 1354.16016 Q. J. Math. 65, No. 1, 225-247 (2014). MSC: 16G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Wiesner, Emilie Simple Virasoro modules induced from codimension one subalgebras of the positive part. (English) Zbl 1394.17020 Proc. Am. Math. Soc. 142, No. 11, 3695-3703 (2014). MSC: 17B10 17B20 17B65 17B66 17B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Futorny, Vyacheslav; Grantcharov, Dimitar; Mazorchuk, Volodymyr Weight modules over infinite dimensional Weyl algebras. (English) Zbl 1331.17020 Proc. Am. Math. Soc. 142, No. 9, 3049-3057 (2014). MSC: 17B65 17B10 16D60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dubsky, Brendan; Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming Category \(\mathcal{O}\) for the Schrödinger algebra. (English) Zbl 1380.17008 Linear Algebra Appl. 460, 17-50 (2014). MSC: 17B10 17B65 17B66 17B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Miemietz, Vanessa Additive versus abelian 2-representations of fiat 2-categories. (English) Zbl 1342.17003 Mosc. Math. J. 14, No. 3, 595-615 (2014). Reviewer: Marek Golasiński (Olsztyn) MSC: 17B10 18D05 18E05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Mazorchuk, Volodymyr; Zhao, Kaiming Simple Virasoro modules which are locally finite over a positive part. (English) Zbl 1317.17029 Sel. Math., New Ser. 20, No. 3, 839-854 (2014). MSC: 17B68 17B10 17B65 17B66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lü, Rencai; Mazorchuk, Volodymyr; Zhao, Kaiming On simple modules over conformal Galilei algebras. (English) Zbl 1343.17008 J. Pure Appl. Algebra 218, No. 10, 1885-1899 (2014). MSC: 17B10 17B81 22E60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr Combinatorial Gelfand models for semisimple diagram algebras. (English) Zbl 1314.16009 Milan J. Math. 81, No. 2, 385-396 (2013). MSC: 16G20 05E15 20C08 16D60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Shun-Jen; Mazorchuk, Volodymyr; Wang, Weiqiang Equivalence of blocks for the general linear Lie superalgebra. (English) Zbl 1376.17010 Lett. Math. Phys. 103, No. 12, 1313-1327 (2013). MSC: 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Zhao, Kaiming Characterization of simple highest weight modules. (English) Zbl 1327.17006 Can. Math. Bull. 56, No. 3, 606-614 (2013). MSC: 17B10 17B20 17B67 17B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martin, Paul; Mazorchuk, Volodymyr Partitioned binary relations. (English) Zbl 1284.18006 Math. Scand. 113, No. 1, 30-52 (2013). MSC: 18B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baur, Karin; Mazorchuk, Volodymyr Combinatorial analogues of ad-nilpotent ideals for untwisted affine Lie algebras. (English) Zbl 1290.17021 J. Algebra 372, 85-107 (2012). MSC: 17B67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Steinberg, Benjamin Effective dimension of finite semigroups. (English) Zbl 1279.20077 J. Pure Appl. Algebra 216, No. 12, 2737-2753 (2012). Reviewer: Mikhail Volkov (Ekaterinburg) MSC: 20M30 20M20 20M05 20M10 68Q25 16G99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Steinberg, Benjamin Double Catalan monoids. (English) Zbl 1259.05190 J. Algebr. Comb. 36, No. 3, 333-354 (2012). Reviewer: Matthew Fayers (London) MSC: 05E15 05A05 20M32 20C08 20M20 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Miemietz, Vanessa Serre functors for Lie algebras and superalgebras. (English. French summary) Zbl 1312.17006 Ann. Inst. Fourier 62, No. 1, 47-75 (2012). Reviewer: Marek Golasiński (Olsztyn) MSC: 17B10 16S30 18G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr Lectures on algebraic categorification. (English) Zbl 1238.18001 The QGM Master Class Series. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-108-8/pbk). ix, 119 p. (2012). Reviewer: Wolfgang Rump (Stuttgart) MSC: 18-01 18D05 18E30 18A40 17B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ganyushkin, Olexandr; Mazorchuk, Volodymyr On Kiselman quotients of 0-Hecke monoids. (English) Zbl 1263.20053 Int. Electron. J. Algebra 10, 174-191 (2011). MSC: 20M05 20M10 20M20 05A15 20M30 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Mazorchuk, Volodymyr; Miemietz, Vanessa Cell 2-representations of finitary 2-categories. (English) Zbl 1232.17015 Compos. Math. 147, No. 5, 1519-1545 (2011). Reviewer: Marek Golasiński (Toruń) MSC: 17B10 16G10 18D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Stroppel, Catharina Cuspidal \(\mathfrak{sl}_n\)-modules and deformations of certain Brauer tree algebras. (English) Zbl 1241.17009 Adv. Math. 228, No. 2, 1008-1042 (2011). Reviewer: Jean-Marie Bois (Kiel) MSC: 17B10 16S80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agerholm, Troels; Mazorchuk, Volodymyr On selfadjoint functors satisfying polynomial relations. (English) Zbl 1258.16010 J. Algebra 330, No. 1, 448-467 (2011). Reviewer: Vesselin Drensky (Sofia) MSC: 16D90 18E10 18E30 16G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazorchuk, Volodymyr; Stroppel, Catharina Blocks of the category of cuspidal \(\mathfrak{sp}_{2n}\)-modules. (English) Zbl 1257.17011 Pac. J. Math. 251, No. 1, 183-196 (2011). MSC: 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Batra, Punita; Mazorchuk, Volodymyr Blocks and modules for Whittaker pairs. (English) Zbl 1228.17008 J. Pure Appl. Algebra 215, No. 7, 1552-1568 (2011). MSC: 17B10 17B65 17B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv