Universal Construction of Algebras |
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| Authors: | J. Avan L. Frappat M. Rossi P. Sorba |
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| Affiliation: | LPTHE, CNRS-UMR 7589, Universités Paris VI/VII, Paris,?France, FR
Laboratoire d'Annecy-le-Vieux de Physique Théorique LAPTH, CNRS-URA 1436 LAPP, BP 110,?F-74941 Annecy-le-Vieux Cedex, France, FR
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| Abstract: | We present a direct construction of the abstract generators for q-deformed WN{cal W}_N algebras. New quantum algebraic structures of Wq,p{cal W}_{q,p} type are thus obtained. This procedure hinges upon a twisted trace formula for the elliptic algebra elpelp generalizing the previously known formulae for quantum groups. It represents the q-deformation of the construction of WN{cal W}_N algebras from Lie algebras. |
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