All Questions
Tagged with symmetric-groups ct.category-theory
5 questions
2
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0
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96
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Morita equivalence between category of modules of hyperoctahedral group with the category of modules of direct product of two symmetric groups
I am reading the paper "R. Dipper and G. D. James, Representations of Hecke algebras of type $B_n$, J. Algebra (146) 1992, 454–481".
Theorem 4.18 says that the category of modules of the ...
3
votes
0
answers
311
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What is known about representations of $S_n$ in other categories?
Is anything known about representations of the symmetric group $S_n$ for categories other than $\textbf{Vect}_k$, vector spaces and linear maps over a field $k$.
That is, a group $G$ can be considered ...
3
votes
0
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155
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Braid 2-groups, symmetric 2-groups
Is there an object which can be called a "braid 2-group"? Or a "symmetric 2-group"? (Note: not a braided 2-group)
I am ignorant about 2-categories but I hope that a good candidate ...
9
votes
1
answer
424
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What is this symmetric simplex category, concretely?
Let $\Delta_+$ denote the category of finite ordinal numbers with monotonic maps (the subscript indicates that $0$ is included, so this is the augmented simplex category). This has a monoidal ...
8
votes
1
answer
2k
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What is a Specht module?
I'm studying the structure of the Specht module for $S_n$ and I would like to know if there is some generalizations of this structure for Weyls groups or Coxeter groups.
Also, I'm interest to know ...