Lectures on spin representation theory of symmetric groups

Details Lectures on spin representation theory of symmetric groups Lectures on spin representation theory of symmetric groups

2011-10-03

arxiv.org/abs/1110.0263v2

Bulletin of the Institute of Mathematics, Academia Sinica (N.S.) 7 (2012), 91--164

Mathematics

Representation Theory

lecture notes for Winter School on Representation Theory, Taipei, December 2010

Scientific paper

The representation theory of the symmetric groups is intimately related to geometry, algebraic combinatorics, and Lie theory. The spin representation theory of the symmetric groups was originally developed by Schur. In these lecture notes, we present a coherent account of the spin counterparts of several classical constructions such as the Frobenius characteristic map, Schur duality, the coinvariant algebra, Kostka polynomials, and Young's seminormal form.

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