The representation theory of finite groups has, at its core, a collection of open problems.
Taken together, they are called 'local-global conjectures', although 'localglobal rough …

We survey some fundamental trends in representation theory of symmetric groups and
related objects which became apparent in the last fifteen years. The emphasis is on …

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 …

We show that actions of the odd categorification of sl (2) induce derived superequivalences
analogous to those introduced by Chuang and Rouquier. Using Kang, Kashiwara, and Oh's …

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 …

We define a block-reduced version of the crystal graph of spin representations of the
symmetric and alternating groups, and separate it into layers, each obtained by translating …

This article is concerned with perfect isometries between blocks of finite groups.
Generalizing a method of Enguehard to show that any two $ p $-blocks of (possibly different) …

This paper addresses the decomposition number problem for spin representations of
symmetric groups in odd characteristic. Our main aim is to find a combinatorial formula for …

The Structure and Higher Representation Theory of Odd Categorified sl2 by Mark Stephen
Ebert A Dissertation Presented to the FAC Page 1 The Structure and Higher Representation …

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 …