Demazure Modules and Perfect Crystals
Atsuo Kuniba, Kailash C. Misra, Masato Okado, Jun Uchiyama
TL;DR
This paper establishes a criterion for the tensor product structure of Demazure crystals, explores the symmetric tensor case for sln, and connects Demazure characters to Kostka-Foulkes polynomials.
Contribution
It provides a new criterion for Demazure crystal tensor products and links Demazure characters to Kostka-Foulkes polynomials in the sln case.
Findings
Demazure crystals can have a tensor product structure under certain conditions
Demazure characters relate to Kostka-Foulkes polynomials in the symmetric tensor case
The paper offers a criterion for the structure of Demazure crystals
Abstract
We give a criterion for the Demazure crystal defined by Kashiwara to have a tensor product structure. We study the symmetric tensor case, and see some Demazure characters are expressed using Kostka-Foulkes polynomials.
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 · Nonlinear Waves and Solitons · Advanced Topics in Algebra