A Hopf algebraic approach to the theory of group branchings

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dc.creatorFauser, Bertfried
dc.creatorJarvis, Peter D.
dc.creatorKing, Ronald C.
dc.date2005-08-17
dc.date.accessioned2026-07-07T04:32:16Z
dc.date.available2026-07-07T04:32:16Z
dc.descriptionWe describe a Hopf algebraic approach to the Grothendieck ring of representations of subgroups $H_π$ of the general linear group GL(n) which stabilize a tensor of Young symmetry $\{π\}$. It turns out that the representation ring of the subgroup can be described as a Hopf algebra twist, with a 2-cocycle derived from the Cauchy kernel 2-cocycle using plethysms. Due to Schur-Weyl duality we also need to employ the coproduct of the inner multiplication. A detailed analysis including combinatorial proofs for our results can be found in math-ph/0505037. In this paper we focus on the Hopf algebraic treatment, and a more formal approach to representation rings and symmetric functions.
dc.description13 pages, LaTeX, uses pstricks and osid Submitted to the B G Wybourne memorial conference proceedings
dc.identifierhttps://arxiv.org/abs/math-ph/0508034
dc.identifierhttp://arxiv.org/abs/math-ph/0508034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58129
dc.subjectMathematical Physics
dc.titleA Hopf algebraic approach to the theory of group branchings
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