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Thursday 07 Nov 2013Factoriality for the Zassenhaus variety, or how lucky can one be

Amiram Braun - Haifa

Harrison 103 15:00-16:00

The center of the enveloping algebra of a reductive Lie algebra, in prime characteristic, is a factorial domain. This 2010 result is due to R.Tange. We shall explain the non-commutative ring-theoretic origin of this result and outline a new proof for it. This also enabled us to prove the same for its quantum analog(at the root of unity case).The unlikely chain of events which lead to this proof, involving modular invariants, Grothendieck-Serre correspondence etc, will be also described.




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