We develop a graded version of the theory of cyclotomic q-Schur algebras, in the spirit of the
work of Brundan-Kleshchev on Hecke algebras and of Ariki on q-Schur algebras. As an …

We prove a conjecture of Rouquier relating the decomposition numbers in category for a
cyclotomic rational Cherednik algebra, including the connection of decomposition numbers …

arXiv:1603.01555v4 [math.RT] 15 Mar 2018 Page 1 arXiv:1603.01555v4 [math.RT] 15 Mar 2018
AN APPROACH TO CATEGORIFICATION OF VERMA MODULES GR ÉGOIRE NAISSE AND …

In this paper we study the superalgebra A_n A n, introduced by the authors in previous work
on categorification of Verma modules for quantum sl _ 2 sl 2. The superalgebra A_n A n is …

Graded decomposition matrices of 𝑣-Schur algebras via Jantzen filtration Page 1
REPRESENTATION THEORY An Electronic Journal of the American Mathematical Society Volume …

Let $\mathcal P:=\mathcal P_ {m\times n} $ denote the quantized coordinate ring of the
space of $ m\times n $ matrices, equipped with natural actions of the quantized enveloping …

In this paper we construct an abstract Fock space for general Lie types that serves as a
generalization of the infinite wedge q-Fock space familiar in type A. Specifically, for each …

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 …

A way to construct the natural representation of the quantized affine algebra U v (sl ̂ l) is via
the deformed Fock space by Misra and Miwa. This relates the classes of Weyl modules for U …

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 …