Spin invariant theory for the symmetric group
Representation Theory
2011-02-18 v3 Combinatorics
Abstract
We formulate a theory of invariants for the spin symmetric group in some suitable modules which involve the polynomial and exterior algebras. We solve the corresponding graded multiplicity problem in terms of specializations of the Schur Q-functions and a shifted q-hook formula. In addition, we provide a bijective proof for a formula of the principal specialization of the Schur Q-functions.
Cite
@article{arxiv.1002.0272,
title = {Spin invariant theory for the symmetric group},
author = {Jinkui Wan and Weiqiang Wang},
journal= {arXiv preprint arXiv:1002.0272},
year = {2011}
}
Comments
v2, 17 pages, modified Introduction and updated references. v3, correction of typos, final version