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Deformation Theory Seminar

Wednesday, October 22, 2003 - 1:45pm

Murray Gerstenhaber

U Penn

Location

University of Pennsylvania

DRL 4N30

Lie triple systems, originally introduced by Jacobson, arise as the -1 eigenspaces of involutions on Lie algebras. In the real and complex cases they bear essentiallly the same relation to symmetric homogeneous spaces as Lie algebras do to Lie groups. Defintions of the cohomology of Lie triple systems have been given by Harris and by Yamaguti. Using the latter, which is completely intrinsic, F. Kubo has described a deformation theory for Lie triple systems paralleling that of associative algebras. This theory will be discussed.