n this paper we construct a generalization of the classical Steinberg section for the quotient map of a semisimple group with re- spect 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.
A GENERALIZED STEINBERG SECTION AND BRANCHING RULES FOR QUANTUM GROUPS AT ROOTS OF 1 / DE CONCINI, Corrado; A., Maffei. - In: MOSCOW MATHEMATICAL JOURNAL. - ISSN 1609-3321. - STAMPA. - 12:(2012), pp. 469-495.
A GENERALIZED STEINBERG SECTION AND BRANCHING RULES FOR QUANTUM GROUPS AT ROOTS OF 1
DE CONCINI, Corrado;
2012
Abstract
n this paper we construct a generalization of the classical Steinberg section for the quotient map of a semisimple group with re- spect 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.File allegati a questo prodotto
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