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This article is cited in 1 scientific paper (total in 1 paper)
A generalized Steinberg section and branching rules for quantum groups at roots of 1
C. De Concinia, A. Maffeib a Dipartimento di Matematica ``G. Castelnuovo'', Piazzale A. Moro 5, 00100, Roma, Italia
b Dipartimento di Matematica ``L. Tonelli'', Largo Bruno Pontecorvo 5, 56127, Pisa, Italy
Abstract:
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 $U_q(\mathrm{GL}(n))$ when $q$ is a primitive odd root of unity.
Key words and phrases:
algebraic groups, quantum groups.
Citation:
C. De Concini, A. Maffei, “A generalized Steinberg section and branching rules for quantum groups at roots of 1”, Mosc. Math. J., 12:3 (2012), 469–495
Linking options:
https://www.mathnet.ru/eng/mmj454 https://www.mathnet.ru/eng/mmj/v12/i3/p469
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Abstract page: | 162 | Full-text PDF : | 1 | References: | 39 |
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