Admissible Pictures and $U_q(gl(m,n))$-Littlewood-Richardson Tableaux
Ji Hye Jung, Seok-Jin Kang, Young-Wook Lyoo
TL;DR
This paper establishes a natural bijection between admissible pictures and $U_q(gl(m,n))$-Littlewood-Richardson tableaux, linking combinatorial objects with quantum group representation theory.
Contribution
It introduces a novel bijection connecting admissible pictures with Littlewood-Richardson tableaux for quantum superalgebra $U_q(gl(m,n))$, advancing combinatorial representation theory.
Findings
Bijection between admissible pictures and tableaux established
Enhances understanding of combinatorial models for quantum superalgebras
Provides tools for calculating tensor product decompositions
Abstract
We construct a natural bijection between the set of admissible pictures and the set of -Littlewood-Richardson tableaux.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Advanced Algebra and Geometry