Fr,chet Sheaves and Taylor Spectrum for Supernilpotent Lie Algebra of Operators

Date

2009-07-01

Author

Dosi, Anar

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

188
views

0
downloads

In the paper we investigate the transversality property of the Fr,chet algebras of formally radical functions in elements of a nilpotent Lie algebra and its relationship to the Taylor spectrum of a family of bounded linear operators generating a supernilpotent Lie algebra.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/63902

Journal

MEDITERRANEAN JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.1007/s00009-009-0004-9

Collections

Engineering, Article

Suggestions

OpenMETU
Core

PERTURBATIONS OF NONASSOCIATIVE BANACH ALGEBRAS Dosi, Anar (Rocky Mountain Mathematics Consortium, 2009-01-01) In this note we prove that if either 21 is a Banach-Jordan algebra or a Banach-Lie algebra then all perturbations of the multiplication in 21 give algebras topologically isomorphic with 21 whenever certain small-dimension cohomology groups associated with 21 are vanishing.
Non-commutative holomorphic functions in elements of a Lie algebra and the absolute basis problem Dosi (Dosiev), A. A. (IOP Publishing, 2009-11-01) We study the absolute basis problem in algebras of holomorphic functions in non-commuting variables generating a finite-dimensional nilpotent Lie algebra g. This is motivated by J. L. Taylor's programme of non-commutative holomorphic functional calculus in the Lie algebra framework.
Relative topology of real algebraic varieties in their complexifications Ozan, Yıldıray (Mathematical Sciences Publishers, 2004-12-01) We investigate, for a given smooth closed manifold M, the existence of an algebraic model X for M (i.e., a nonsingular real algebraic variety diffeomorphic to M) such that some nonsingular projective complexification i:X-->X-C of X admits a retraction r:X-C-->X. If such an X exists, we show that M must be formal in the sense of Sullivan's minimal models, and that all rational Massey products on M are trivial.
A classification of equivariant principal bundles over nonsingular toric varieties Biswas, Indranil; Dey, Arijit; Poddar, Mainak (World Scientific Pub Co Pte Lt, 2016-12-01) We classify holomorphic as well as algebraic torus equivariant principal G-bundles over a nonsingular toric variety X, where G is a complex linear algebraic group. It is shown that any such bundle over an affine, nonsingular toric variety admits a trivialization in equivariant sense. We also obtain some splitting results.
The Fine Moduli Space of Representations of Clifford Algebras Coşkun, Emre (Oxford University Press (OUP), 2011-01-01) Given a fixed binary form f(u,v) of degree d over a field k, the associated Clifford algebra is the k-algebra C(f)=k{u,v}/I, where I is the two-sided ideal generated by elements of the form (alpha u+beta v)(d)-f(alpha,beta) with alpha and beta arbitrary elements in k. All representations of C(f) have dimensions that are multiples of d, and occur in families. In this article, we construct fine moduli spaces U=U(f,r) for the irreducible rd-dimensional representations of C(f) for each r >= 2. Our construction ...

Citation Formats

A. Dosi, “Fr,chet Sheaves and Taylor Spectrum for Supernilpotent Lie Algebra of Operators,” MEDITERRANEAN JOURNAL OF MATHEMATICS, pp. 181–201, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63902.