On blocks of Deligne's category Rep(S_t)

Mathematics – Representation Theory

Scientific paper

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43 pages, final version, includes an added appendix as well as other modifications recommended by the referee

Scientific paper

10.1016/j.aim.2010.08.010

Recently P. Deligne introduced the tensor category Rep(S_t) (for t not
necessarily an integer) which in a certain precise sense interpolates the
categories Rep(S_d) of representations of the symmetric groups S_d. In this
paper we describe the blocks of Deligne's category Rep(S_t).

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