Admissible Pictures and Littlewood-Richardson Crystals
Toshiki Nakashima, Miki Shimojo
TL;DR
This paper establishes a bijective relationship between admissible pictures and Littlewood-Richardson crystals, demonstrating that the set of pictures is independent of admissible order choices.
Contribution
It introduces a new correspondence linking admissible pictures with Littlewood-Richardson crystals, clarifying their structural relationship.
Findings
The set of admissible pictures is independent of admissible order.
A one-to-one correspondence between admissible pictures and Littlewood-Richardson crystals is established.
The set of pictures remains consistent regardless of the choice of admissible orders.
Abstract
We present a one-to-one correspondence between the set of admissible pictures and the Littlewood-Richardson crystals. As a simple consequence, we shall show that the set of pictures does not depend on the choice of admissible orders.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Advanced Algebra and Geometry