Construct Weak Hopf Algebras By Using Borcherds Matrix

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dc.creatorZhixiang, Wu
dc.date2006-07-13
dc.date.accessioned2026-07-07T07:18:18Z
dc.date.available2026-07-07T07:18:18Z
dc.descriptionWe define a new kind quantized enveloping algebra of a generalized Kac-Moody algebra ${\mathcal G}$ by adding a new generator $J$ satisfying $J^m=J$ for some integer $m$. We denote this algebra by $wU_q^τ({\mathcal G})$. This algebra is a weak Hopf algebra if and only if $m=2,3$. In general, it is a bialgebra, and contains a Hopf subalgebra. This Hopf subalgebra is isomorphic to the usually quantum envelope algebra $U_q({\mathcal G})$ of a generalized Kac-Moody algebra ${\mathcal G}$.
dc.identifierhttps://arxiv.org/abs/math/0607303
dc.identifierhttp://arxiv.org/abs/math/0607303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114249
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject16A30,16A64,17B37,17B67
dc.titleConstruct Weak Hopf Algebras By Using Borcherds Matrix
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