A contribution to nonstandard superanalysis

DOI10.1063/1.529930zbMath0759.03029OpenAlexW2036422584MaRDI QIDQ4030933

Vladimir G. Pestov

Publication date: 1 April 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529930

zbMATH Keywords

nonstandard analysissuperspacenonstandard hullGrassmann algebrasuperanalysiscollective bosonic effectsinfinite fermionic dimensions

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Supermanifolds and graded manifolds (58A50) Analysis on supermanifolds or graded manifolds (58C50) Nonstandard models in mathematics (03H05) Nonstandard functional analysis (46S20) Exterior algebra, Grassmann algebras (15A75)

Related Items (2)

Analysis on superspace: an overview ⋮ On the notion of compactness in supergeometry

Cites Work

• A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings
• Superanalysis, I. Differential calculus
• Usage of infinite-dimensional nuclear algebras in superanalysis
• Superspaces and supersymmetries
• Supergravity, complex geometry and G-structures
• A generalization of normed rings
• Even sectors of Lie superalgebras as locally convex Lie algebras
• Functional superanalysis
• Interpreting superanalyticity in terms of convergent series
• A global theory of supermanifolds
• Dirac Delta Functions Via Nonstandard Analysis

This page was built for publication: A contribution to nonstandard superanalysis