Howe Duality and Combinatorial Character Formula for Orthosymplectic Lie superalgebras

Simple item page
dc.creatorCheng, Shun-Jen
dc.creatorZhang, R. B.
dc.date2002-06-05
dc.date2003-01-17
dc.date.accessioned2026-07-07T04:48:53Z
dc.date.available2026-07-07T04:48:53Z
dc.descriptionWe study the Howe dualities involving the reductive dual pairs $(O(d),spo(2m|2n))$ and $(Sp(d),osp(2m|2n))$ on the (super)symmetric tensor of $\C^d\otimes\C^{m|n}$. We obtain complete decompositions of this space with respect to their respective joint actions. We also use these dualities to derive a character formula for these irreducible representations of $spo(2m|2n)$ and $osp(2m|2n)$ that appear in these decompositions.
dc.description47 pages, LaTeX format
dc.identifierhttps://arxiv.org/abs/math/0206036
dc.identifierhttp://arxiv.org/abs/math/0206036
dc.identifierAdvances in Mathematics 182 No. 1 (2004) 124-172
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64224
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject17B67
dc.titleHowe Duality and Combinatorial Character Formula for Orthosymplectic Lie superalgebras
dc.typetext

Files

Collections

arXiv