Invariant polynomial functions on the Poisson algebra in characteristic \(p\).

DOI10.1016/S0021-8693(02)00150-3zbMath1039.17024MaRDI QIDQ1858213

Serge Skryabin

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

invariant polynomial functionsPoisson algebra of characteristic \(p\)

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Poisson algebras (17B63) Modular Lie (super)algebras (17B50)

Related Items (3)

Restricted Poisson algebras ⋮ Adjoint quotient maps for the restricted Lie algebrasW_nandS_n ⋮ Weyl groups for non-classical restricted Lie algebras and the Chevalley restriction theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic
• The classification of simple Lie algebras over fields of positive characteristic: methods and results
• On the toral structure of Lie p-algebras
• INVARIANTS OF FINITE GROUP SCHEMES
• REGULAR CARTAN SUBALGEBRAS AND NILPOTENT ELEMENTS IN RESTRICTED LIE ALGEBRAS
• ON THE MAXIMAL DIMENSION OF IRREDUCIBLE REPRESENTATIONS OF SIMPLE LIE $ p$-ALGEBRAS OF THE CARTAN SERIES $ S$ AND $ H$
• Hamiltonian differential forms over the divided powers algebra
• Rational actions associated to the adjoint representation
• THE THEOREM ON RESTRICTION OF INVARIANTS, AND NILPOTENT ELEMENTS IN $ W_n$
• DESCRIPTION OF FILTERED LIE ALGEBRAS WITH WHICH GRADED LIE ALGEBRAS OF CARTAN TYPE ARE ASSOCIATED
• Automorphisms of graded lie algebras op cartan type
• Representations of restricted Lie algebras and families of associative ℒ-algebras
• Modular lie algebras of cartan type over algebraically non-closed fields. II
• ON THE INDEX OF ALGEBRAS OF CARTAN TYPE IN FINITE CHARACTERISTIC
• Lie Group Representations on Polynomial Rings
• GRADED LIE ALGEBRAS OF FINITE CHARACTERISTIC
• The center of the universal enveloping algebra of a Lie algebra in characteristic $p$
• The Representations of Lie Algebras of Prime Characteristic

This page was built for publication: Invariant polynomial functions on the Poisson algebra in characteristic \(p\).