Factoriality for the Zassenhaus variety or how lucky can one be.
Amiram Braun (Haifa University)
Wednesday 26th March, 2014 16:40-17:30 Maths 204
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 led to this proof, involving modular invariants, Grothendieck-Serre correspondence etc, will be also described.