Displaying similar documents to “On * -representations of the Hopf * -algebra associated with the quantum group U q ( n )

Representations of s l q 3 at the roots of unity

Nicoletta Cantarini (1996)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this paper we study the irreducible finite dimensional representations of the quantized enveloping algebra U q g associated to g = s l 3 , at the roots of unity. It is known that these representations are parametrized, up to isomorphisms, by the conjugacy classes of the group G = S L 3 . We get a complete classification of the representations corresponding to the submaximal unipotent conjugacy class and therefore a proof of the De Concini-Kac conjecture about the dimension of the U q g -modules at the roots...