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A functorial point of view on Poincare´-Birkhoff-Witt theorem

Hold Date
2009-10-21 16:40〜2009-10-21 17:40
Ito Campus, Faculty of Mathematics building, seminar room 3
Object person
Michel Duflo (Paris)

Let $L$ be a Lie algebra (or a Lie super-algebra) over a commutative ring$R$. The PBW theorems provide, under suitable hypotheses, isomorphisms of coalgebras between the symmetric algebra and the enveloping algebra of $L$.
In this lecture, I consider some  functorial aspects, and some explicit formulas, for these isomorphisms.