paper

On blocks of Deligne's category Rep(S_t)

arXiv:0910.5695 · doi:10.1016/j.aim.2010.08.010

Abstract

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).

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

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