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A Weight Theory for Unitary Representations

Published online by Cambridge University Press:  20 November 2018

Thomas Sherman
Thomas Sherman*
Affiliation:
The Institute for Advanced Study, Princeton
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Over a field of characteristic 0 certain of the simple Lie algebras have a root theory, namely those called “split” in Jacobson's book (3). We shall assume some familiarity with the subject matter of this book. Then the finite-dimensional representations of these Lie algebras have a weight theory. Our purpose here is to present a kind of weight theory for the representations of these Lie algebras when their ground field is the real numbers, and when the representation comes from a unitary group representation.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 159 - 168
Copyright
Copyright © Canadian Mathematical Society 1966

References

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