4.4 Article

Quantized GIM lie algebras and their Lusztig symmetries

Journal

JOURNAL OF ALGEBRA
Volume 289, Issue 1, Pages 214-276

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2005.03.013

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We study quantized universal enveloping algebras of Slodowy's GIM Lie algebras. It is shown that they have Lusztig symmetries associated to the corresponding toroidal Weyl groups, and these symmetries satisfy the braid relations given by the toroidal root systems. (c) 2005 Elsevier Inc. All rights reserved.

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