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An introduction to noncommutative deformations of modules
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UNSPECIFIED (2006) An introduction to noncommutative deformations of modules. In: NOG Workshop of the International Algebra Congress, St Petersburg, RUSSIA, SEP 17-23, 2002. Published in: Noncommutative Algebra and Geometry, 243 pp. 90-125. ISBN 0-8247-2349-X. ISSN 0075-8469.
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Abstract
Let k be an algebraically closed (commuitative) field, let A be an associative k-algebra, and let M = {M-1,..., M-p} be a finite family of left A-modules. We study the simultaneous formal deformations of this family, described by the noncommutative deformation functor Def(M) : a(p) -> Sets introduced in Laudal [8]. In particular, we prove that this deformation functor has a pro-representing hull, and describe how to calculate this hull using the cohomology groups Ext(A)(n)(M-i, M-j) and their matric Massey products.
Item Type: | Conference Item (UNSPECIFIED) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Series Name: | LECTURE NOTES IN PURE AND APPLIED MATHEMATICS | ||||
Journal or Publication Title: | Noncommutative Algebra and Geometry | ||||
Publisher: | CHAPMAN & HALL/CRC PRESS | ||||
ISBN: | 0-8247-2349-X | ||||
ISSN: | 0075-8469 | ||||
Editor: | DeConcini, C and VanOystaeyen, F and Vavilov, N and Yakovlev, A | ||||
Official Date: | 2006 | ||||
Dates: |
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Volume: | 243 | ||||
Number of Pages: | 36 | ||||
Page Range: | pp. 90-125 | ||||
Publication Status: | Published | ||||
Title of Event: | NOG Workshop of the International Algebra Congress | ||||
Location of Event: | St Petersburg, RUSSIA | ||||
Date(s) of Event: | SEP 17-23, 2002 |
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