On Chari-Loktev bases for local Weyl modules in type A

@article{Raghavan2018OnCB,
  title={On Chari-Loktev bases for local Weyl modules in type A},
  author={K. Raghavan and B. Ravinder and S. Viswanath},
  journal={J. Comb. Theory, Ser. A},
  year={2018},
  volume={154},
  pages={77-113}
}
This paper is a study of the bases introduced by Chari-Loktev for local Weyl modules of the current algebra associated to a special linear Lie algebra. Partition overlaid patterns, POPs for short---whose introduction is one of the aims of this paper---form convenient parametrizing sets of these bases. They play a role analogous to that played by (Gelfand-Tsetlin) patterns in the representation theory of the special linear Lie algebra. The notion of a POP leads naturally to the notion of area… Expand
5 Citations
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