Construction of symplectic quadratic Lie algebras from Poisson algebras

Description:  By using the Koecher-Kantor-Tits construction and the notion of double extension of quadratic Lie algebras, we give a construction of symplectic quadratic Lie algebras g(A) from an arbitrary Poisson algebra A. In particular, if the dimension of A is finite, then the dimension of g(A) is at least equal to $4n2.$ Area(s): Date:  2007-02-13 Start Time:   10:00 Speaker:  Said Benayadi (Dep Mat, U Metz, França) Place:  5.4 Research Groups: -Geometry See more:   <Main>