Representations of the covering groups of the symmetric groups and their combinatorics. (English) Zbl 0855.05102

Bessenrodt, Christine

Sémin. Lothar. Comb. 33, B33a, 29 p. (1994).

Summary: Firstly, we give a brief introduction into the representation theory of the covering groups of the symmetric groups, along with its combinatorics, that corresponds to the time up to 1986. This will be incomplete in many respects, e.g. there will be little included about symmetric functions or Clifford algebras. It will focus on those results that are needed later on. In the main part of the paper we report on the more recent results in \(p\)-modular representation theory of the covering groups.

MSC:

05E15	Combinatorial aspects of groups and algebras (MSC2010)
15A66	Clifford algebras, spinors

Keywords:

representation theory; covering groups; symmetric groups; symmetric functions; Clifford algebras