We study the properties of the surjective homomorphism, defined by Beilinson, Lusztig, and MacPherson, from the quantized enveloping algebra of gl to the n ลฝ . q-Schur algebra, S n, r . In particular, we find an expression for the preimage of q ลฝ . an arbitrary element of S n, r under this map and a
Presenting Schur Algebras as Quotients of the Universal Enveloping Algebra of gl2
โ Scribed by Stephen Doty; Anthony Giaquinto
- Book ID
- 111570457
- Publisher
- Springer Netherlands
- Year
- 2004
- Tongue
- English
- Weight
- 140 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1386-923X
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๐ SIMILAR VOLUMES
We first define the notion of good filtration dimension and Weyl filtration dimension in a quasi-hereditary algebra. We calculate these dimensions explicitly for all irreducible modules in SL and SL . We use these to show that the global 2 3 dimension of a Schur algebra for GL and GL is twice the go
In this paper we construct a basis for an irreducible module of the quantized enveloping algebra \(U_{r}(g /(n))\) which is a \(q\)-analogue of the special basis of an irreducible \(G L(n)\)-module introduced by C. de Concini and D. Kazhdan (Israel J. Math. 40, 1980, 275-290). We conjecture the basi