Paper Info
Title
A Method of Splitting Cochain Complexes to Compute Cohomologies of Lie (Super)algebras
Abstract
A new algorithmic approach for computing cohomologies of Lie (super)algebras is described. This approach is based on splitting a complete cochain complex into minimal (in some noninvariant sense) subcomplexes; this makes the computations much more efficient due to the fact that the proposed splitting allows the cochain complex spaces (which, normally, have very large dimensions) to be decomposed into much smaller subspaces. The algorithms in a pseudocode are presented. The approach is illustrated by comprehensive examples.
Year
DOI
Venue
2002
10.1023/A:1014872716962
Programming and Computer Software
Keywords
Field
DocType
noninvariant sense,new algorithmic approach,splitting cochain complexes,compute cohomologies,smaller subspaces,cochain complex space,large dimension,complete cochain complex,comprehensive example,proposed splitting
Discrete mathematics,Chain complex,Algebra,Computer science,Linear subspace,Pseudocode,Complex space,Computation
Journal
Volume
Issue
ISSN
28
2
1608-3261
Citations 
PageRank 
References 
2
0.69
1
Authors
1
Name
Order
Citations
PageRank
V. V. Kornyak11212.76