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A Method of Splitting Cochain Complexes to Compute Cohomologies of Lie (Super)algebras

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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.

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  1. Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia

    V. V. Kornyak

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  1. V. V. Kornyak
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Kornyak, V.V. A Method of Splitting Cochain Complexes to Compute Cohomologies of Lie (Super)algebras. Programming and Computer Software 28, 76–80 (2002). https://doi.org/10.1023/A:1014872716962

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