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On Frobenius algebras and the quantum Yang-Baxter equation

K.I. Beidar ; Y. Fong ; Alexander Stolin (Institutionen för matematik)
Transactions of the American Mathematical Society (0002-9947). Vol. 349 (1997), 9, p. 3823-3836.
[Artikel, refereegranskad vetenskaplig]

It is shown that every Frobenius algebra over a commutative ring determines a class of solutions of the quantum Yang-Baxter equation, which forms a subbimodule of its tensor square. Moreover, this subbimodule is free of rank one as a left (right) submodule. An explicit form of a generator is given in terms of the Frobenius homomorphism. It turns out that the generator is invertible in the tensor square if and only if the algebra is Azumaya.

Nyckelord: quantum Yang-Baxter equation, Frobenius algebra, Azumaya algebra

Denna post skapades 2017-07-05.
CPL Pubid: 250506


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