U_{q}(sl_{2}) at fourth root of unity

Details U_{q}(sl_{2}) at fourth root of unity U_{q}(sl_{2}) at fourth root of unity

1999-12-22

arxiv.org/abs/math/9912185v1

Mathematics

Quantum Algebra

24 pages, talk presented by Daniel Kastler at the conference "Analysis on infinite-dimensional Lie groups and algebras", Marse

Scientific paper

In this paper, we study finite dimensional quotients of the Hopf algebra
U_{q}(sl_{2}) at fourth root of unity. We give explicitly all the corresponding
automorphisms, real forms and idempotents.

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