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arXiv · 2507.21444

Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization of type $C_n$

Manal Alshuqayr·Toshiki Nakashima
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Abstract

We consider a product of fundamental crystals of type $C_n$ in monomial realization, where the product means a natural product of Laurent monomials, not a tensor product. Then we shall show that the product still holds a crystal structure and describe how it is decomposed into irreducible crystals, which is, in general, different from the decomposition rule for the tensor product of the fundamental crystals.

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Manal Alshuqayr, Toshiki Nakashima. 2025-07-29. Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization of type $C_n$. https://arxiv.org/abs/2507.21444

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