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arXiv · 1002.0272

Spin invariant theory for the symmetric group

Jinkui Wan·Weiqiang Wang
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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.

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Jinkui Wan, Weiqiang Wang. 2010-02-01. Spin invariant theory for the symmetric group. https://arxiv.org/abs/1002.0272

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