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Blocks in Deligne's category Rep(St)

Posted on:2011-12-13Degree:Ph.DType:Dissertation
University:University of OregonCandidate:Comes, JonathanFull Text:PDF
GTID:1442390002959421Subject:Mathematics
Abstract/Summary:
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 Re p(St) for arbitrary t. Finally, we use our result on blocks to decompose tensor products and classify tensor ideals in Rep(St).
Keywords/Search Tags:Rep, Blocks, Tensor
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