Invariants of finite abelian groups acting on the algebra of two 2×2 generic matrices

Huh, Chan

doi:10.1090/S0002-9939-1988-0964848-1

Invariants of finite abelian groups acting on the algebra of two $2\times 2$ generic matrices
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Proc. Amer. Math. Soc. 104 (1988), 716-722 Request permission

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.

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