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June 2020 Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization
Manal ALSHUQAYR, Toshiki NAKASHIMA
Tokyo J. Math. 43(1): 239-258 (June 2020). DOI: 10.3836/tjm/1502179324

Abstract

We consider a product of fundamental crystals of type A in monomial realization. Then we shall show that the product holds crystal structure and describe how it is decomposed into irreducible crystals, which is, in general, different from the decomposition for tensor product of the fundamental crystals.

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Manal ALSHUQAYR. Toshiki NAKASHIMA. "Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization." Tokyo J. Math. 43 (1) 239 - 258, June 2020. https://doi.org/10.3836/tjm/1502179324

Information

Published: June 2020
First available in Project Euclid: 13 July 2020

zbMATH: 07227188
MathSciNet: MR4121796
Digital Object Identifier: 10.3836/tjm/1502179324

Subjects:
Primary: 05E10
Secondary: 17B37, 20G42

Rights: Copyright © 2020 Publication Committee for the Tokyo Journal of Mathematics

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Vol.43 • No. 1 • June 2020
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