Cohomology of Frobenius Algebras and the Yang-Baxter Equation

Simple item page
dc.creatorCarter, J. Scott
dc.creatorCrans, Alissa S.
dc.creatorElhamdadi, Mohamed
dc.creatorKaradayi, Enver
dc.creatorSaito, Masahico
dc.date2008-01-16
dc.date.accessioned2026-07-07T08:54:53Z
dc.date.available2026-07-07T08:54:53Z
dc.descriptionA cohomology theory for multiplications and comultiplications of Frobenius algebras is developed in low dimensions in analogy with Hochschild cohomology of bialgebras based on deformation theory. Concrete computations are provided for key examples. Skein theoretic constructions give rise to solutions to the Yang-Baxter equation using multiplications and comultiplications of Frobenius algebras, and 2-cocycles are used to obtain deformations of R-matrices thus obtained.
dc.description21 pages, 18 figures, in memory of Xiao Song Lin
dc.identifierhttps://arxiv.org/abs/0801.2567
dc.identifierhttp://arxiv.org/abs/0801.2567
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146104
dc.subjectQuantum Algebra
dc.subjectCategory Theory
dc.subject16W30;18G35;57M25;57T99;57U15
dc.titleCohomology of Frobenius Algebras and the Yang-Baxter Equation
dc.typetext

Files

Collections

arXiv