Completions of quantum coordinate rings

Linhong Wang

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arXiv · 0710.3749

Completions of quantum coordinate rings

Linhong Wang

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Abstract

Given an iterated skew polynomial ring C[y_1;t_1,d_1]ldots [y_n;t_n,d_n] over a complete local ring C with maximal ideal m, we prove, under suitable assumptions, that the completion at the ideal m + < y_1,y_2,ldots,y_n> is an iterated skew power series ring. Under further conditions, this completion is a local, noetherian, Auslander regular domain. Applicable examples include quantum matrices, quantum symplectic spaces, and quantum Euclidean space.

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Linhong Wang. 2008-04-29. Completions of quantum coordinate rings. https://arxiv.org/abs/0710.3749

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