Stability of the Chari-Pressley-Loktev bases for local Weyl modules of $sl_2[t]$
K.N.Raghavan, B.Ravinder, Sankaran Viswanath
TL;DR
This paper proves the stability of specific bases for local Weyl modules of sl_2[t], leading to bases for level 1 affine Lie algebra representations through direct limits.
Contribution
It establishes the stability of Chari-Pressley-Loktev bases for local Weyl modules of sl_2[t], connecting them to level 1 affine Lie algebra representations.
Findings
Proves stability of bases for local Weyl modules
Constructs bases for level 1 affine Lie algebra representations
Links Demazure submodules to stable bases
Abstract
We prove stability of the Chari-Pressley-Loktev bases for natural inclusions of local Weyl modules of the current algebra . These modules being known to be Demazure submodules in the level 1 representations of the affine Lie algebra , we obtain, by passage to the direct limit, bases for the level 1 representations themselves.
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