Christopher Ryba

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20182020

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math.RT2018

Resolving Irreducible $C S_{n}$ -Modules by Modules Restricted from $G L_{n} (C)$

Christopher Ryba

We construct a resolution of irreducible complex representations of the symmetric group $S_{n}$ by restrictions of representations of $G L_{n} (C)$ (where $S_{n}$ is the subgroup…

math.RT2018

The Structure of the Grothendieck Rings of Wreath Product Deligne Categories and their Generalisations

Christopher Ryba

Given a tensor category $C$ over an algebraically closed field of characteristic zero, we may form the wreath product category $W_{n} (C)$ . It was shown…

Resolving Irreducible CSn​-Modules by Modules Restricted from GLn​(C)

The Structure of the Grothendieck Rings of Wreath Product Deligne Categories and their Generalisations

Resolving Irreducible $C S_{n}$ -Modules by Modules Restricted from $G L_{n} (C)$