Displaying similar documents to “Poisson-Lie groupoids and the contraction procedure”

Underlying Lie algebras of quadratic Novikov algebras

Zhiqi Chen (2011)

Czechoslovak Mathematical Journal


Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and the Hamiltonian operators in formal variational calculus. In this note we prove that the underlying Lie algebras of quadratic Novikov algebras are 2-step nilpotent. Moreover, we give the classification up to dimension 10 .

A Note on Strong Lie Derived Length of Group Algebras

Francesco Catino, Ernesto Spinelli (2007)

Bollettino dell'Unione Matematica Italiana


For a group algebra KG of a non-abelian group G over a field K of positive characteristic p we study the strong Lie derived length of the associated Lie algebra.