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Weight Multiplicities and Young Tableaux Through Affine Crystals
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eBook
Weight Multiplicities and Young Tableaux Through Affine Crystals
2023
Overview
The weight multiplicities of finite dimensional simple Lie algebras can be computed individually using various methods. Still, it is
hard to derive explicit closed formulas. Similarly, explicit closed formulas for the multiplicities of maximal weights of affine
Kac–Moody algebras are not known in most cases. In this paper, we study weight multiplicities for both finite and affine cases of
classical types for certain infinite families of highest weights modules. We introduce new classes of Young tableaux, called the
Publisher
American Mathematical Society
Subject
ISBN
1470459949, 9781470459949
