Weak Hopf algebras corresponding to Cartan matrices

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dc.creatorYang, Shilin
dc.date2005-04-24
dc.date.accessioned2026-07-07T06:39:50Z
dc.date.available2026-07-07T06:39:50Z
dc.descriptionWe replace the group of group-like elements of the quantized enveloping algebra $U_q({\frak{g}})$ of a finite dimensional semisimple Lie algebra ${\frak g}$ by some regular monoid and get the weak Hopf algebra ${\frak{w}}_q^{\sf d}({\frak g})$. It is a new subclass of weak Hopf algebras but not Hopf algebras. Then we devote to constructing a basis of ${\frak{w}}_q^{\sf d}({\frak g})$ and determine the group of weak Hopf algebra automorphisms of ${\frak{w}}_q^{\sf d}({\frak g})$ when $q$ is not a root of unity.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0504494
dc.identifierhttp://arxiv.org/abs/math/0504494
dc.identifierJournal of Mathematical Physics 46, 073502 (2005)
dc.identifierdoi:10.1063/1.1933063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101227
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectRings and Algebras
dc.subject17B37;16W30
dc.titleWeak Hopf algebras corresponding to Cartan matrices
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