The elliptic GL(n) dynamical quantum group as an h-Hopf algebroid
نویسنده
چکیده
Using the language of h-Hopf algebroids which was introduced by Etingof and Varchenko, we construct a dynamical quantum group, Fell(GL(n)), from Felder’s elliptic solution of the quantum dynamical Yang-Baxter equation with spectral parameter associated to the Lie algebra sln. First we apply the generalized FRST construction and obtain a bialgebroid Fell(M(n)). Then, analogues of the exterior algebra and their matrix elements, elliptic minors, are defined and studied. In particular we define the elliptic determinant and prove that it is grouplike and almost central. Localizing at this determinant and constructing an antipode we obtain the h-Hopf algebroid Fell(GL(n)).
منابع مشابه
The Elliptic GL(n) Dynamical Quantum Group as an -Hopf Algebroid
Using the language of h-Hopf algebroids which was introduced by Etingof and Varchenko, we construct a dynamical quantum group, Fell GL n , from the elliptic solution of the quantum dynamical Yang-Baxter equation with spectral parameter associated to the Lie algebra sln. We apply the generalized FRST construction and obtain an h-bialgebroid Fell M n . Natural analogs of the exterior algebra and ...
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