Blocks in Deligne's category Rep(St)

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Date

2010-06

Authors

Comes, Jonathan, 1981-

Journal Title

Journal ISSN

Volume Title

Publisher

University of Oregon

Abstract

We give an exposition of Deligne's tensor category Rep(St) where t is not necessarily an integer. Thereafter, we give a complete description of the blocks in Rep(St) for arbitrary t. Finally, we use our result on blocks to decompose tensor products and classify tensor ideals in Rep(St).

Description

x, 81 p. : ill. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number.

Keywords

Tensor categories, Symmetric groups, Decomposed blocks, Tensor product, Tensor ideals, Mathematics, Theoretical mathematics

Citation