# REPRESENTATION THEORY IN COMPLEX RANK, I

@article{Etingof2014REPRESENTATIONTI, title={REPRESENTATION THEORY IN COMPLEX RANK, I}, author={Pavel Etingof}, journal={Transformation Groups}, year={2014}, volume={19}, pages={359-381} }

P. Deligne defined interpolations of the tensor category of representations of the symmetric group Sn to complex values of n. Namely, he defined tensor categories Rep(St) for any complex t. This construction was generalized by F. Knop to the case of wreath products of Sn with a finite group. Generalizing these results, we propose a method of interpolating representation categories of various algebras containing Sn (such as degenerate affine Hecke algebras, symplectic reflection algebras…

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