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Seminars
A functorial point of view on Poincare´-Birkhoff-Witt theorem
- Hold Date
- 2009-10-21 16:40〜2009-10-21 17:40
- Place
- Ito Campus, Faculty of Mathematics building, seminar room 3
- Object person
- Speaker
- 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.