Titlebook: Lie Groups, Geometry, and Representation Theory; A Tribute to the Lif Victor G. Kac,Vladimir L. Popov Book 2018 Springer Nature Switzerland

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Autoequivalences of Tensor Categories Attached to Quantum Groups at Roots of 1,We compute the group of braided tensor autoequivalences and the Brauer- Picard group of the representation category of the small quantumgroup u.(g), where . is a root of unity.

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Verlinde Formulas for Nonsimply Connected Groups,In 1999, Fuchs and Schweigert proposed formulas of Verlinde type for moduli spaces of surface group representations in compact nonsimply connected Lie groups. In this paper, we will prove a symplectic version of their conjecture for surfaces with at most one boundary component. A key tool in our computations is Kostant’s notion of a ..

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Victor G. Kac,Vladimir L. PopovCelebrates one of the 20th century’s most significant mathematicians.Explores recent advances in topics that Kostant fundamentally influenced.Equips readers with an understanding of various subjects w

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