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Formally-radical Functions in Elements of a Nilpotent Lie Algebra and Noncommutative Localizations.
- Source :
-
Algebra Colloquium . Dec2010 Special Issue, Vol. 17, p749-788. 40p. - Publication Year :
- 2010
-
Abstract
- In the present paper, we introduce the sheaf 픗픤 of germs of non-commutative holomorphic functions in elements of a finite-dimensional nilpotent Lie algebra 픤, which is a sheaf of non-commutative Fréchet algebras over the character space of 픤. We prove that 픗픤(D) is a localization over the universal enveloping algebra ${\mathcal U}({\mathfrak g})$ whenever D is a polydisk, which in turn allows to describe the Taylor spectrum of a supernilpotent Lie algebra of operators in terms of the transversality. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATHEMATICS
*HOLOMORPHIC functions
*LIE algebras
*JORDAN algebras
*LIE groups
Subjects
Details
- Language :
- English
- ISSN :
- 10053867
- Volume :
- 17
- Database :
- Academic Search Index
- Journal :
- Algebra Colloquium
- Publication Type :
- Academic Journal
- Accession number :
- 54563529
- Full Text :
- https://doi.org/10.1142/S1005386710000726