Completions of quantum coordinate rings
Rings and Algebras
2009-01-30 v2 Quantum Algebra
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.
Cite
@article{arxiv.0710.3749,
title = {Completions of quantum coordinate rings},
author = {Linhong Wang},
journal= {arXiv preprint arXiv:0710.3749},
year = {2009}
}
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9 pages