𝔖 Bobbio Scriptorium
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Roots of unity: Representations of quantum groups

✍ Scribed by W. A. Schnizer


Publisher
Springer
Year
1994
Tongue
English
Weight
738 KB
Volume
163
Category
Article
ISSN
0010-3616

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πŸ“œ SIMILAR VOLUMES


Representations of Quantum Groups at Eve
✍ J. Beck πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 905 KB

Let \(\mathrm{g}\) be a finite dimensional complex simple Lie algebra and \(U(g)\) its enveloping algebra. The quantum group of Drinfeld and Jimbo is a Hopf algebra denoted \(U_{q}(\mathbf{g})\) defined on Chevalley-like generators over \(\mathbb{C}\left[q, q^{-1}\right]\). Through "specialization"

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✍ Vyjayanthi Chari; Andrew Pressley πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 497 KB

To every fimte-dlmensional irreducible representation V of the quantum group U,(g\_) where e is a primitive /th root of unity (1 odd) and g is a finite-dimensional complex simple Lie algebra, de Concini, Kac and Procesi have associated a conjugacy class C v in the adjoint group G ofg. We describe ex