On the Notion of Noncommutative Submanifold

We review the notion of submanifold algebra, as introduced by T. Masson, and discuss some properties and examples. A submanifold algebra of an associative algebra 𝘈 is a quotient algebra 𝘉 such that all derivations of 𝘉 can be lifted to 𝘈. We will argue that in the case of smooth functions on manifo...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Author: D'Andrea, Francesco
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210700
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the Notion of Noncommutative Submanifold. Francesco D'Andrea. SIGMA 16 (2020), 050, 21 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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