Speaker:  Bryan Lu, Cornell University
Title: Branching rules for the $0$-Hecke algebra
Time: 2:30 PM, Monday, November 27, 2023
Place:  Malott 206

Abstract: The $0$-Hecke algebra is a generalization of $\mathit{Symm}_n$ whose representations behave similarly to the representations of $\mathit{Symm}_n$. In particular, there is a nice correspondence between projective representations of $H_n(0)$ and compositions of $n$, which also index ribbon Young diagrams, skew Young diagrams that do not contain any $2 \times 2$ box. We study branching rules for projective indecomposable representations of $H_n(0)$. In particular, we show a branching rule for these representations at the level of characters in $\mathit{NSym}$, and then exhibit an explicit short exact sequence that these representations satisfy.


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