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- W2102440926 abstract "We show that the space R^n x gl(n,R) with a certain antisymmetric bracket operation contains all n-dimensional Lie algebras. The bracket does not satisfy the Jacobi identity, but it does satisfy it for subalgebras which are isotropic under a certain symmetric bilinear form with values in R^n. We ask what the corresponding group-like object should be. The bracket may be obtained by linearizing at a point the bracket on TM + T*M introduced by T. Courant for the definition of Dirac structures, a notion which encompasses Poisson structures, closed 2-forms, and foliations." @default.
- W2102440926 created "2016-06-24" @default.
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- W2102440926 date "1999-12-22" @default.
- W2102440926 modified "2023-09-27" @default.
- W2102440926 title "Omni-Lie Algebras" @default.
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