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q-Schur Algebras as Quotients of Quantized Enveloping Algebras

✍ Scribed by R.M. Green

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
266 KB
Volume
185
Category
Article
ISSN
0021-8693

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✦ Synopsis

We study the properties of the surjective homomorphism, defined by Beilinson, Lusztig, and MacPherson, from the quantized enveloping algebra of gl to the n Ε½ . q-Schur algebra, S n, r . In particular, we find an expression for the preimage of q Ε½ . an arbitrary element of S n, r under this map and a basis for the kernel.

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