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arXiv:1407.0789 [math.RT]AbstractReferencesReviewsResources

Stability of the Chari-Pressley-Loktev bases for local Weyl modules of $sl_2[t]$

K. N. Raghavan, B. Ravinder, Sankaran Viswanath

Published 2014-07-03, updated 2015-06-06Version 3

We prove stability of the Chari-Pressley-Loktev bases for natural inclusions of local Weyl modules of the current algebra $sl_2[t]$. These modules being known to be Demazure submodules in the level 1 representations of the affine Lie algebra $\widehat{sl_2}$, we obtain, by passage to the direct limit, bases for the level 1 representations themselves.

Comments: 20 pages; minor revisions
Journal: Algebras and Representation Theory, 18, No. 2, 2015
Categories: math.RT, math.QA
Subjects: 17B67, 17B10
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