Remarks on the Schur-Howe-Sergeev Duality

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dc.creatorCheng, Shun-Jen
dc.creatorWang, Weiqiang
dc.date2000-08-15
dc.date.accessioned2026-07-07T04:36:48Z
dc.date.available2026-07-07T04:36:48Z
dc.descriptionWe establish a new Howe duality between a pair of two queer Lie superalgebras (q(m),q(n)). This gives a representation theoretic interpretation of a well-known combinatorial identity for Schur Q-functions. We further establish the equivalence between this new Howe duality and the Schur-Sergeev duality between q(n) and a central extension $\Hy_k$ of the hyperoctahedral group H_k. We show that the zero-weight space of a q(n)-module with highest weight $λ$ given by a strict partition of n is an irreducible module over the finite group $\Hy_n$ parameterized by $λ$. We also discuss some consequences of this Howe duality.
dc.description11 pages, to appear in Lett. Math. Phys
dc.identifierhttps://arxiv.org/abs/math/0008109
dc.identifierhttp://arxiv.org/abs/math/0008109
dc.identifierLett. Math. Phys. 52 (2000)143--153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59732
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.titleRemarks on the Schur-Howe-Sergeev Duality
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