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- Title
COHOMOLOGY OF FROBENIUS ALGEBRAS AND THE YANG-BAXTER EQUATION.
- Authors
CARTER, J. SCOTT; CRANS, ALISSA S.; ELHAMDADI, MOHAMED; KARADAYI, ENVER; SAITO, MASAHICO
- Abstract
A 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.
- Subjects
FROBENIUS algebras; MATRICES (Mathematics); ABSTRACT algebra; MATHEMATICS; ALGEBRA
- Publication
Communications in Contemporary Mathematics, 2008, Vol 10, p791
- ISSN
0219-1997
- Publication type
Article
- DOI
10.1142/S0219199708003022