Non-commutative Poisson algebra structures on affine Kac-Moody algebras

DOI10.1016/S0022-4049(96)00141-7zbMath0973.17029MaRDI QIDQ1380071

Fujio Kubo

Publication date: 2 December 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Poisson algebras (17B63) Leibniz algebras (17A32)

Related Items

Quiver Poisson algebras ⋮ Non-commutative Poisson Algebra Structures on the Lie Algebra $so_n\widetilde{({\Bbb C}_Q)}$ ⋮ Poisson structures on finitary incidence algebras ⋮ Noncommutative Poisson bialgebras ⋮ On extended graded Poisson algebras ⋮ Well-posedness of the Kadomtsev-Petviashvili hierarchy, Mulase factorization, and Frölicher Lie groups ⋮ Cohomology and deformation quantization of Poisson conformal algebras ⋮ Left-right noncommutative Poisson algebras ⋮ Non-commutative Poisson Algebras Admitting a Multiplicative Basis ⋮ Poisson structures on basic cycles ⋮ FINITE-DIMENSIONAL NON-COMMUTATIVE POISSON ALGEBRAS. II ⋮ A compendium of Lie structures on tensor products ⋮ Strongly Split Poisson Algebras ⋮ Cohomology structure for a Poisson algebra: I ⋮ On the structure of split non-commutative Poisson algebras ⋮ On functional identities andd-free subsets of rings, I ⋮ Projectivity and flatness over the endomorphism ring of a finitely generated quasi-Poisson comodule

Cites Work

• Finite-dimensional non-commutative Poisson algebras
• On the deformation of rings and algebras. IV
• Cohomology and deformation of Leibniz pairs
• The cohomology structure of an associative ring
• On the deformation of rings and algebras. II
• On the deformation of rings and algebras. III
• On the Deformation of Algebra Morphisms and Diagrams
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