Simplicity and similarity of Kirillov-Reshetikhin crystals
Masato Okado
TL;DR
This paper proves that Kirillov-Reshetikhin crystals for nonexceptional affine types are simple and possess the similarity property, leading to connected tensor products and variations of these properties.
Contribution
It establishes the simplicity and similarity of KR crystals for nonexceptional affine types, providing new insights into their structure and tensor product connectivity.
Findings
KR crystals are simple for nonexceptional affine types
Tensor products of KR crystals are connected
Variations of the similarity property are presented
Abstract
We show that the Kirillov-Reshetikhin crystal B^{r,s} for nonexceptional affine types is simple and have the similarity property. As a corollary of the first fact we can derive that the tensor product of KR crystals is connected. Variations of the second property are also given.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Molecular spectroscopy and chirality