A diagram calculus for certain canonical bases.

Green, R. M. (1997) A diagram calculus for certain canonical bases. Communications in Mathematical Physics, 183 (3). pp. 521-532. ISSN 0010-3616

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Abstract

We introduce a certain cellular algebra which is a quotient of the q-Schur algebra . This is naturally equipped with a canonical basis which is compatible with Lusztig's canonical bases for certain modules for the quantized enveloping algebra . We describe a diagram calculus for which makes calculations involving the corresponding canonical bases easy to understand.

Item Type:
Journal Article
Journal or Publication Title:
Communications in Mathematical Physics
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
ID Code:
19495
Deposited By:
Deposited On:
12 Nov 2008 10:19
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 06:15