Paper Info
Title
Cohomologies of restricted Lie algebras of Hamiltonian vector fields: Computer analysis
Abstract
Restricted algebras, or Lie p-algebras, of vector fields are finite-dimensional analogs of the corresponding classical algebras defined over fields of positive characteristic p. Our computations of p-algebras of Lie vector fields that preserve the symplectic structure (i.e., Hamiltonian and Poisson algebras) revealed important and interesting specific features of the structure of their cohomologies. Explanations of these specific features are presented.
Year
DOI
Venue
2005
10.1007/s11086-005-0018-4
Programming and Computer Software
Keywords
Field
DocType
symplectic structure,hamiltonian vector field,restricted lie algebra,corresponding classical algebra,positive characteristic p,finite-dimensional analog,lie vector field,specific feature,interesting specific feature,computer analysis,lie p-algebras,poisson algebra,vector field
Discrete mathematics,Representation of a Lie group,Adjoint representation of a Lie algebra,Lie bracket of vector fields,Killing form,Fundamental vector field,Non-associative algebra,Affine Lie algebra,Lie conformal algebra,Mathematics
Journal
Volume
Issue
ISSN
31
2
1608-3261
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
V. V. Kornyak11212.76