Unitary invariance in algebraic algebras
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- by Charles Lanski PDF
- Trans. Amer. Math. Soc. 245 (1978), 139-146 Request permission
Abstract:
A structure theorem is obtained for subspaces invariant under conjugation by the unitary group of a prime algebraic algebra over an infinite field. For an invariant subalgebra W, it is shown that either W is central, W contains an ideal, or the ring satisfies the standard identity of degree eight. Also, for prime algebras not satisfying such an identity, the unitary group is not solvable.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 245 (1978), 139-146
- MSC: Primary 16A28; Secondary 16A45
- DOI: https://doi.org/10.1090/S0002-9947-1978-0511403-1
- MathSciNet review: 511403