Simple transitive 2‐representations of Soergel bimodules for finite Coxeter types
M Mackaay, V Mazorchuk, V Miemietz… - Proceedings of the …, 2023 - Wiley Online Library
Simple transitive 2‐representations of Soergel bimodules for finite Coxeter types - Mackaay -
2023 - Proceedings of the London Mathematical Society - Wiley Online Library Skip to Article …
2023 - Proceedings of the London Mathematical Society - Wiley Online Library Skip to Article …
Kostant's problem for Whittaker modules
CW Chen - Letters in Mathematical Physics, 2024 - Springer
We study the classical problem of Kostant for Whittaker modules over Lie algebras and Lie
superalgebras. We give a sufficient condition for a positive answer to Kostant's problem for …
superalgebras. We give a sufficient condition for a positive answer to Kostant's problem for …
Kostant's problem for parabolic Verma modules
V Mazorchuk, S Srivastava - arXiv preprint arXiv:2301.07090, 2023 - arxiv.org
We give a complete combinatorial classification of those parabolic Verma modules in the
principal block of the parabolic category $\mathcal {O} $ associated to a minimal or a …
principal block of the parabolic category $\mathcal {O} $ associated to a minimal or a …
Kostant's problem for fully commutative permutations
M Mackaay, V Mazorchuk, V Miemietz - Revista matemática …, 2023 - ems.press
We give a complete combinatorial answer to Kostant's problem for simple highest weight
modules indexed by fully commutative permutations. We also propose a reformulation of …
modules indexed by fully commutative permutations. We also propose a reformulation of …
The tale of Kostant's problem
V Mazorchuk - arXiv preprint arXiv:2308.02839, 2023 - arxiv.org
This is a survey paper presenting the history and both old and new results related to
Kostant's problem. This problem asks for which modules over a semi-simple finite …
Kostant's problem. This problem asks for which modules over a semi-simple finite …
Some homological properties of category , VII
V Mazorchuk - arXiv preprint arXiv:2403.05258, 2024 - arxiv.org
We describe Calabi-Yau objects in the regular block of the (parabolic) BGG category
$\mathcal {O} $ associated to a semi-simple finite dimensional complex Lie algebra. Each …
$\mathcal {O} $ associated to a semi-simple finite dimensional complex Lie algebra. Each …
Some homological properties of category O. VI
This paper explores various homological regularity phenomena (in the sense of Auslander)
in category O and its several variations and generalizations. Additionally, we address the …
in category O and its several variations and generalizations. Additionally, we address the …
Almost all permutations and involutions are Kostant negative
S Creedon, V Mazorchuk - arXiv preprint arXiv:2411.13043, 2024 - arxiv.org
arXiv:2411.13043v1 [math.RT] 20 Nov 2024 Page 1 arXiv:2411.13043v1 [math.RT] 20 Nov
2024 ALMOST ALL PERMUTATIONS AND INVOLUTIONS ARE KOSTANT NEGATIVE …
2024 ALMOST ALL PERMUTATIONS AND INVOLUTIONS ARE KOSTANT NEGATIVE …
On Hecke algebras and -graded twisting, Shuffling and Zuckerman functors
M Fang, J Hu, Y Sun - arXiv preprint arXiv:2409.03379, 2024 - arxiv.org
Let $ g $ be a complex semisimple Lie algebra with Weyl group $ W $. Let $ H (W) $ be the
Iwahori-Hecke algebra associated to $ W $. For each $ w\in W $, let $ T_w $ and $ C_w $ be …
Iwahori-Hecke algebra associated to $ W $. For each $ w\in W $, let $ T_w $ and $ C_w $ be …
On First Extensions in -Subcategories of
H Ko, V Mazorchuk - International Workshop on Lie Theory and Its …, 2021 - Springer
We compute the first extension group from a simple object to a proper standard object and,
in some cases, the first extension group from a simple object to a standard object in the …
in some cases, the first extension group from a simple object to a standard object in the …