RoCK blocks of double covers of symmetric groups and generalized Schur algebras
A Kleshchev - arXiv preprint arXiv:2411.03653, 2024 - arxiv.org
We study blocks of the double covers of symmetric and alternating groups. The main result is
alocal'description, up to Morita equivalence, of arbitrary defect RoCK blocks of these groups …
alocal'description, up to Morita equivalence, of arbitrary defect RoCK blocks of these groups …
RoCK blocks for double covers of symmetric groups and quiver Hecke superalgebras
A Kleshchev, M Livesey - arXiv preprint arXiv:2201.06870, 2022 - arxiv.org
We define and study RoCK blocks for double covers of symmetric groups. We prove that
RoCK blocks of double covers are Morita equivalent to standardlocal'blocks. The analogous …
RoCK blocks of double covers are Morita equivalent to standardlocal'blocks. The analogous …
[图书][B] Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup
AS Kleshchëv, V Shchigolev - 2012 - books.google.com
There are two approaches to projective representation theory of symmetric and alternating
groups, which are powerful enough to work for modular representations. One is based on …
groups, which are powerful enough to work for modular representations. One is based on …
Unidirectional Littelmann Paths for Crystals of Type A and Rank 2
O Amara-Omari, M Schaps - Algebras and Representation Theory, 2022 - Springer
For the Kashiwara crystal of a highest weight representation of an affine Lie algebra of type
A and rank e, with highest weight Λ, there is a labeling by multipartitions and by piecewise …
A and rank e, with highest weight Λ, there is a labeling by multipartitions and by piecewise …
Spin Multipartitions
O Amara-Omari, M Schaps - arXiv preprint arXiv:2409.02801, 2024 - arxiv.org
arXiv:2409.02801v1 [math.CO] 4 Sep 2024 Page 1 arXiv:2409.02801v1 [math.CO] 4 Sep 2024
SPIN MULTIPARTITIONS OLA AMARA-OMARI AND MARY SCHAPS Abstract. We conjecture …
SPIN MULTIPARTITIONS OLA AMARA-OMARI AND MARY SCHAPS Abstract. We conjecture …
Faces in Crystals of Affine Type A and the Shape of Canonical Basis Elements
For a dominant integral weight $\Lambda $ in a Lie algebra of affine type A and rank $ e $,
and an interval $ I_0 $ in the residue set $ I $, we define the face for the interval $ I_0 $ to be …
and an interval $ I_0 $ in the residue set $ I $, we define the face for the interval $ I_0 $ to be …
NONRECURSIVE CANONICAL BASIS COMPUTATIONS FOR LOW RANK KASHIWARA CRYSTALS OF TYPE
O Amara-Omari, M Schaps - Rocky Mountain Journal of …, 2022 - projecteuclid.org
We give an improved algorithm for the action of the divided power of a Chevalley basis
element of an affine Lie algebra of type A on canonical basis elements satisfying an easily …
element of an affine Lie algebra of type A on canonical basis elements satisfying an easily …
External vertices for crystals of affine type A
O Amara-Omari, M Schaps - Algebras and Representation Theory, 2023 - Springer
We demonstrate that for a fixed dominant integral weight and fixed defect d, there are only a
finite number of Morita equivalence classes of blocks of cyclotomic Hecke algebras, by …
finite number of Morita equivalence classes of blocks of cyclotomic Hecke algebras, by …
Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup 𝑄 (𝑛)
A Kleshchev, V Shchigolev - 2012 - ams.org
There are two approaches to projective representation theory of symmetric and alternating
groups, which are powerful enough to work for modular representations. One is based on …
groups, which are powerful enough to work for modular representations. One is based on …
Morita equivalences of spin blocks of symmetric and alternating groups
R Leabovich, M Schaps - The Rocky Mountain Journal of Mathematics, 2017 - JSTOR
We complete the demonstration of source algebra equivalences between spin blocks of
families of covering groups {S~ n} and {A~ n} of symmetric and alternating groups, for pairs …
families of covering groups {S~ n} and {A~ n} of symmetric and alternating groups, for pairs …