Some Indications that the Exceptional Groups Form aSeriesArjeh
نویسنده
چکیده
This is a written version of the talk delivered on Feb 6, 1996 at the SMC conference , Amsterdam. Last Summer, P. Vogel noted that the dimensions of the exceptional Lie algebras are given by ?2 (+ 5)(? 6) (? 1) for an appropriate value of , as well as other uniform behavior of the exceptional Lie algebras with regard to the parameter. Inspired by this, P. Deligne conjectured that there might be a tensor category explaining the behavior. Ronald de Man and I have provided additional computational evidence for his conjecture. In my talk I will explain the conjecture by elaborating on a tensor category for the general linear group, built up by means of braid-like combinatorial objects.
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تاریخ انتشار 1996