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Computers in the study of Lie algebras
Conference proceeding

Computers in the study of Lie algebras

Bernard Kolman and Robert Beck
Proceedings of the third ACM symposium on symbolic and algebraic computation
10 Aug 1976

Abstract

Computers have been successfully used in group theory for a good many years to calculate the structure of a group. They have also been used to either prove or disprove a number of conjectures since they allow examination of large examples. Moreover, computers have been instrumental in the discovery of a number of new groups. Few areas in algebra have been applied as extensively to other areas of mathematics and the physical sciences as Lie algebras. Applications almost invariably call for extensive computational work. There are strong parallels between the structure of groups and the structure theory of Lie algebras. In view of the successful application of computers to handle computational problems in group theory, it was reasonable to consider an analogous approach in Lie algebras.

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