# Manchester Geometry Seminar 2008/2009

**Thursday 12 March 2009. ** *The Frank Adams Room (Room 1.212), the Alan Turing Building. 4pm*
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Graded Commutative Algebras

Valentin Ovsienko (Université Claude Bernard Lyon 1)

`ovsienko@math.univ-lyon1.fr`

I will talk on a new class of algebras called "Lie antialgebras". These graded commutative algebras are closely related to Lie superalgebras. I will give a number of examples of Lie antialgebras and explain their main properties. A part of the talk will treat the classical algebra of quaternions viewed as a graded commutative algebra.