Lectures on spin representation theory of symmetric groups
Representation Theory
2011-12-15 v2 Combinatorics
Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.1110.0263,
title = {Lectures on spin representation theory of symmetric groups},
author = {Jinkui Wan and Weiqiang Wang},
journal= {arXiv preprint arXiv:1110.0263},
year = {2011}
}
Comments
lecture notes for Winter School on Representation Theory, Taipei, December 2010