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Answer by Joshua Mundinger for Combinatorics behind certain induction of...
Note that$\newcommand{\Sa}{\mathfrak{S}_a}\DeclareMathOperator{Ind}{Ind}\DeclareMathOperator{Res}{Res}$$$\Sa \times W_b \subseteq W_a \times W_b \subseteq W_{a+b}.$$Hence$$ \Ind_{\Sa \times...
View ArticleCombinatorics behind certain induction of characters of the Coxeter group of...
Let $W_n$ be a Coxeter group of type $B_n$ with $n\geq 1$. Concretely, it is generated by a set of simple reflexions $S = \{s_1,\ldots ,s_n\}$ which satisfy the relations $s_i^2 = 1, s_is_j=s_js_i$ as...
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