Seminar in Representation Theory
Bruhat chains and normal sequences of determinantial modules over quiver Hecke algebras
2026/11/10 (Tue.) 10:00~11:00
- Date : 2026/11/10 (Tue.) 10:00~11:00
- Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
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Speaker : Jaehoon Kwon (Seoul National University)
- Organizer : Chun-Ju Lai (AS)
- Abstract : The quiver Hecke algebra is a generalization of the affine Heck algebra of type $A$, which categories the negative half of the quantum group associated to a symmetrizable Kac-Moody algebra. There is a special family of simple modules over a symmetric quiver Hecke algebra, which correspond to a family of dual canonical basis elements called unipotent quantum minors. In this talk, we show that a finite sequence of determinantial modules associated to a Bruhat chain is a normal sequence, which in particular implies that its tensor product has a simple head. As an application in case of finite types $A$ and $D$, we give a categorical interpretation of RSK correspondence in algebraic combinatorics. This is a joint work (in progress) with Jiwon Chun.
