Spin invariant theory for the symmetric group

Jinkui Wan; Weiqiang Wang

doi:10.1016/j.jpaa.2010.09.011

Spin invariant theory for the symmetric group

Jinkui Wan, Weiqiang Wang^*

^*Corresponding author for this work

School of Mathematics and Statistics

University of Virginia School of Engineering and Applied Science

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1569-1581
Number of pages	13
Journal	Journal of Pure and Applied Algebra
Volume	215
Issue number	7
DOIs	https://doi.org/10.1016/j.jpaa.2010.09.011
Publication status	Published - Jul 2011

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title = "Spin invariant theory for the symmetric group",

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.",

author = "Jinkui Wan and Weiqiang Wang",

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AU - Wang, Weiqiang

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AB - 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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DO - 10.1016/j.jpaa.2010.09.011

M3 - Article

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VL - 215

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EP - 1581

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 7

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Spin invariant theory for the symmetric group

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