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Schur Algebras and Global Bases: New Proofs of Old Vanishing Theorems

✍ Scribed by D. Woodcock


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
463 KB
Volume
191
Category
Article
ISSN
0021-8693

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✦ Synopsis


Let U be the quantised enveloping algebra associated to a finite-type w x w x root datum, as defined by Drinfeld 10 and Jimbo 17 , and modified by w x w y1 x Ž . Lusztig 24 . Put A A s ‫ޚ‬ q, q . In the first instance U is a ‫ޑ‬ q -algebra; by analogy with the Kostant ‫-ޚ‬form of the classical enveloping algebra, w x Lusztig 23 has defined an A A-form U in U. By base change we obtain an * Part of this work was carried out while the author was employed at Bristol University.