Tuesday, August 6, 14:00, 7.527

Karin Erdmann (Oxford)
On some representations of the symmetric group S_2p.

Abstract:
We review some results on the block of weight 2 of the symmetric group S_2p. The motivation is the higher Auslander-Iyama-Solberg correspondence as introduced by Cruz and Psaroudakis. As a consequence of our joint work on the study of relative dominant dimensions of S(2,2d), the higher Auslander-Iyama-Solberg correspondence restricts to a correspondence between a class of Schur algebras and Temperley-Lieb algebras. This should generalize to a correspondence between Schur algebras S(2,2p) and analogues of Temperley-Lieb algebras over characteristic p, which needs input from symmetric groups.