Abstract
The aim of this paper is to generalize Noether’s theorem for finite groups acting on commutative algebras, to finite-dimensional triangular Hopf algebras acting on quantum commutative algebras. In the process we construct a non-commutative determinant function which yields an analogue of the Cayley-Hamilton theorem for certain endomorphisms.
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In memory of Professor Shimshon Amitsur
The author was supported by the Plan and Budget Committee of the Israeli Government.
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Cohen, M., Westreich, S. & Zhu, S. Determinants, integrality and Noether’s theorem for quantum commutative algebras. Israel J. Math. 96, 185–222 (1996). https://doi.org/10.1007/BF02785538
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DOI: https://doi.org/10.1007/BF02785538