On FRT-Clifford Algebras
I. Heckenberger, A. Schueler
Abstract
We study the q-Clifford algebras Clq(N,c), called FRT-Clifford algebras, introduced by Faddeev, Reshetikhin and Takhtajan. It is shown that Clq(N,c) acts on the q-exterior algebra Λ(OqN). Moreover, explicit formulas for the embedding of Uq(soN) into Clq(N,c) and its relation to the vector and spin representations of Uq(soN) are given and proved. Key Words: q-Clifford algebra, Drinfeld-Jimbo algebra, spin representation
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