Some quantum analogues of solvable Lie groups

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dc.creatorDe Concini, C.
dc.creatorKac, Victor G.
dc.creatorProcesi, C.
dc.date1993-08-27
dc.date.accessioned2026-07-07T09:14:07Z
dc.date.available2026-07-07T09:14:07Z
dc.descriptionIn this paper we analyze the structure of some subalgebras of quantized enveloping algebras corresponding to unipotent and solvable subgroups of a simple Lie group G. These algebras have the non--commutative structure of iterated algebras of twisted polynomials with a derivation, an object which has often appeared in the general theory of non-commutative rings. In particular, we find maximal dimensions of their irreducible representations. Our results confirm the validity of the general philosophy that the representation theory is intimately connected to the Poisson geometry.
dc.identifierhttps://arxiv.org/abs/hep-th/9308138
dc.identifierhttp://arxiv.org/abs/hep-th/9308138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152557
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleSome quantum analogues of solvable Lie groups
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