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Spin invariant theory for the symmetric group

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arxiv 1002.0272 v3 pith:KX3BVBIE submitted 2010-02-01 math.RT math.CO

Spin invariant theory for the symmetric group

Jinkui Wan , Weiqiang Wang This is my paper
classification math.RT math.CO
keywords formulagroupq-functionsschurspinsymmetrictheoryaddition
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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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