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Irreducible Representations of Braid Groups via Quantized Enveloping Algebras

✍ Scribed by Oh Kang Kwon

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
227 KB
Volume
183
Category
Article
ISSN
0021-8693

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✦ Synopsis

Quantized enveloping algebras U α’„ and their representations provide natural settings for the action of the corresponding braid groups. Objects of particular Ε½ . interest are the zero weight spaces of U α’„ -modules since they are stable under the Ε½ . braid group action. We show that for α’„ s ᒐ α’‰ there is a class of simple U ᒐ α’‰n n modules for which the action of the Artin braid group B on the zero weight space n is irreducible.

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