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Invariants of finite abelian groups acting on the algebra of two $ 2\times 2$ generic matrices

Author: Chan Huh
Journal: Proc. Amer. Math. Soc. 104 (1988), 716-722
MSC: Primary 16A38
MathSciNet review: 964848
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Abstract: In this paper, we discuss the finite generation problem for the invariant subalgebras of finite abelian groups which act linearly on the $ 2 \times 2$ generic matrix algebra, and we obtain some conditions on the groups to ensure that their invariant subalgebras are finitely generated.

References [Enhancements On Off] (What's this?)

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Keywords: Invariants of group action, generic matrix algebra
Article copyright: © Copyright 1988 American Mathematical Society

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