Completions of quantum coordinate rings
نویسندگان
چکیده
منابع مشابه
Completions of Quantum Coordinate Rings
Given an iterated skew polynomial ring C[y1; τ1, δ1] . . . [yn; τn, δn] over a complete local ring C with maximal ideal m, we prove, under suitable assumptions, that the completion at the ideal m+ 〈y1, y2, . . . , yn〉 is an iterated skew power series ring. When C is a field, this completion is a local, noetherian, Auslander regular domain with Krull, classical Krull and global dimension all equ...
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The main object of study in this paper is the completion Z[q] = lim ←−n Z[q]/((1−q)(1−q) · · · (1−q)) of the polynomial ring Z[q], which arises from the study of a new invariant of integral homology 3spheres with values in Z[q] announced by the author, which unifies all the sl2 Witten-Reshetikhin-Turaev invariants at various roots of unity. We show that any element of Z[q] is uniquely determine...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2008
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-08-09620-2