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Computing Representations of a Lie Group via the Universal Enveloping Algebra

✍ Scribed by Philip Feinsilver; René Schott

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
373 KB
Volume
26
Category
Article
ISSN
0747-7171

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✦ Synopsis

We present an algorithm for the computation of representations of a Lie algebra acting on its universal enveloping algebra. This is a new algorithm which permits the effective computation of these representations and of the matrix elements of the corresponding Lie group. The approach is based on a mathematical formulation originated by the authors. An interesting feature is the efficient computation of the adjoint representation of the corresponding Lie group. The methods are implemented using a symbolic computation program such as MAPLE.

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