Groups of linear operators defined by group characters
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- by Marvin Marcus and James Holmes PDF
- Trans. Amer. Math. Soc. 172 (1972), 177-194 Request permission
Abstract:
Some of the recent work on invariance questions can be regarded as follows: Characterize those linear operators on $\operatorname {Hom} (V,V)$ which preserve the character of a given representation of the full linear group. In this paper, for certain rational characters, necessary and sufficient conditions are described that ensure that the set of all such operators forms a group $\mathfrak {L}$. The structure of $\mathfrak {L}$ is also determined. The proofs depend on recent results concerning derivations on symmetry classes of tensors.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 172 (1972), 177-194
- MSC: Primary 20G05
- DOI: https://doi.org/10.1090/S0002-9947-1972-0310081-9
- MathSciNet review: 0310081