Canonical bases and affine Hecke algebras of type D
Peng Shan (IMJ), Michela Varagnolo (AGM), Eric Vasserot (IMJ)
TL;DR
This paper proves a conjecture regarding canonical bases and branching rules for affine Hecke algebras of type D, extending known results from type B and contributing to the understanding of algebraic structures in representation theory.
Contribution
It establishes the conjecture of Kashiwara and Miemietz for type D affine Hecke algebras, providing a parallel proof to the type B case and advancing the theory of canonical bases.
Findings
Proof of Kashiwara and Miemietz's conjecture for type D
Extension of canonical bases theory to affine Hecke algebras of type D
Similarity of proof techniques to the type B case
Abstract
We prove a conjecture of Kashiwara and Miemietz on canonical bases and branching rules of affine Hecke algebras of type D. The proof is similar to the proof of the type B case.
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.