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math.RT2015★ 4 cited
Pattern avoidance seen in multiplicities of maximal weights of affine Lie algebra representations
Shunsuke Tsuchioka, Masaki Watanabe
We prove that the multiplicities of certain maximal weights of -modules are counted by pattern avoidance on words. This proves and generalizes a conjectu…
math.RT2015★ 3 cited
Kraśkiewicz-Pragacz modules and Ringel duality
Masaki Watanabe
Kraśkiewicz and Pragacz introduced representations of the upper-triangular Lie algebras whose characters are Schubert polynomials. In a previous work the author studied the structu…