A Generalized Steinberg Section and Branching Rules for Quantum Groups at Roots of 1

نویسندگان

  • C. DE CONCINI
  • A. MAFFEI
چکیده

In this paper we construct a generalization of the classical Steinberg section for the quotient map of a semisimple group with respect to the conjugation action. We then give various applications of our result including the construction of a sort of Gelfand–Zeitlin basis for a generic irreducible representation of Uq(GL(n)) when q is a primitive odd root of unity. 2010 Math. Subj. Class. 20G07, 20G42.

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تاریخ انتشار 2012