Stability of the Chari-Pressley-Loktev bases for local Weyl modules of sl2[t]
Abstract
We prove stability of the Chari-Pressley-Loktev bases for natural inclusions of local Weyl modules of the current algebra sl2[t]. These modules being known to be Demazure submodules in the level 1 representations of the affine Lie algebra sl2, we obtain, by passage to the direct limit, bases for the level 1 representations themselves.
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