THE COMPUTER CALCULATION OF GRADED CONTRACTIONS OF LIE-ALGEBRAS AND THEIR REPRESENTATIONS

Citation
D. Berube et M. Demontigny, THE COMPUTER CALCULATION OF GRADED CONTRACTIONS OF LIE-ALGEBRAS AND THEIR REPRESENTATIONS, Computer physics communications, 76(3), 1993, pp. 389-410
Citations number
11
Categorie Soggetti
Mathematical Method, Physical Science","Computer Applications & Cybernetics","Physycs, Mathematical
ISSN journal
00104655
Volume
76
Issue
3
Year of publication
1993
Pages
389 - 410
Database
ISI
SICI code
0010-4655(1993)76:3<389:TCCOGC>2.0.ZU;2-9
Abstract
We present a computer program to generate and solve the defining equat ions for grading preserving contractions of Lie algebras of any type, and their representations. The algorithm applies to any grading semi-g roup which is finite and Abelian. It can perform contractions of Lie a lgebras and/or representations for which the grading is either generic or not.