ON FRT– CLIFFORD ALGEBRAS

Autor: István Heckenberger, Axel Schüler
Rok vydání: 2000
Předmět:
Zdroj: Advances in Applied Clifford Algebras. 10:267-296
ISSN: 1661-4909
0188-7009
DOI: 10.1007/s00006-000-0008-9
Popis: We study the q-Clifford algebras $$\hbox{Cl}_{{q}^{2}} (N, c^2)$$ , called FRT–Clifford algebras, introduced by Faddeev, Reshetikhin and Takhtajan. It is shown that $$ \hbox{Cl}_{{q}^{2}} (N, c^2)$$ acts on the q-exterior algebra $$ \Lambda(\hbox{O}^{N}_{{q}^{2}})$$ . Moreover, explicit formulas for the embedding of $$ U_{{q}^{2}} (\mathcal{S} \mathcal{O}_{N})$$ into $$ \hbox{Cl}_{{q}^{2}} (N, c^2) $$ and its relation to the vector and spin representations of $$ U_{{q}^{2}} (\mathcal{S} \mathcal{O}_{N})$$ are given and proved.
Databáze: OpenAIRE
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