Stability of the Chari-Pressley-Loktev bases for local Weyl modules of $s{l}_2[t]$

Abstract

We prove stability of the Chari-Pressley-Loktev bases for natural inclusions of local Weyl modules of the current algebra $s{l}_2[t]$. These modules being known to be Demazure submodules in the level 1 representations of the affine Lie algebra $\widehat{s{l}_2}$, we obtain, by passage to the direct limit, bases for the level 1 representations themselves.

arXiv comment20 pages; minor revisions

Cited by in corpus (1)

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