320 citations · 1k across the 26 of their papers we have counts for
26 papers
RoCK blocks for double covers of symmetric groups over a complete discrete valuation ring
Alexander Kleshchev, Michael Livesey
Recently the authors proved the existence of RoCK blocks for double covers of symmetric groups over an algebraically closed field of odd characteristic. In this paper we prove that…
Decomposition numbers for abelian defect RoCK blocks of double covers of symmetric groups
Matthew Fayers, Alexander Kleshchev, Lucia Morotti
We calculate the (super)decomposition matrix for a RoCK block of a double cover of the symmetric group with abelian defect, verifying a conjecture of the first author. To do this,…
Level, rank, and tensor growth of representations of symmetric groups
Alexander Kleshchev, Michael Larsen, Pham Huu Tiep
We develop a theory of levels for irreducible representations of symmetric groups of degree analogous to the theory of levels for finite classical groups. A key property of lev…
Super invariant theory in positive characteristic
Kevin Coulembier, Pavel Etingof, Alexander Kleshchev +1
We study invariant theory of the general linear supergroup in positive characteristic. In particular, we determine when the symmetric group algebra acts faithfully on tensor supers…
Ringel Duality for Extended ZigZag Schur Algebra
Alexander Kleshchev, Ilan Weinschelbaum
Extended zigzag Schur algebras are quasi-hereditary algebras which are conjecturally Morita equivalent to RoCK blocks of classical Schur algebras. We prove that extended zigzag Sch…
Odd Grassmannian bimodules and derived equivalences for spin symmetric groups
Jonathan Brundan, Alexander Kleshchev
We prove odd analogs of results of Chuang and Rouquier on sl(2)-categorification. Combined also with recent work of the second author with Livesey, this allows us to complete the p…