Stability of the Chari-Loktev bases for local Weyl modules of $\mathfrak{sl}_{r+1}[t]$

Content Provider	Semantic Scholar
Author	Ravinder, B.
Copyright Year	2016
Abstract	We prove stability of the Chari-Loktev bases with respect to the inclusions of local Weyl modules of the current algebra $\mathfrak{sl}_{r+1}[t]$. This is conjectured in \cite{RRV2} and the $r=1$ case is proved in \cite{RRV1}. Local Weyl modules being known to be Demazure submodules in the level one representations of the affine Lie algebra $\widehat{\mathfrak{sl}_{r+1}}$, we obtain, by passage to the direct limit, bases for the level one representations themselves.
File Format	PDF HTM / HTML
Alternate Webpage(s)	https://arxiv.org/pdf/1612.01484v2.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article