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On a representation of commuting maps by tensor products

✍ Scribed by Luzius Grunenfelder; Tomaž Košir

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
382 KB
Volume
251
Category
Article
ISSN
0024-3795

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✦ Synopsis

It is shown that a representation

by tensor products of degree n2 exists for every pair of commuting linear maps on an n-dimensional vector space, but in general, not a representation of degree less than n2.

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We agree with the observations of Wybourne regarding the inherent inefficiency of the algorithm we used in WBase to reduce tensor products of Lie algebra representations , and that the S-function method indicated in [1] is more suitable to perform this task, especially for high-dimensional represen