Formal power series, operator calculus, and duality on Lie algebras
type: Item
instance of: scholarly article
title: Formal power series, operator calculus, and duality on Lie algebras
zbMATH Open document ID: 0968.17006
DOI: 10.1016/S0012-365X(97)00113-1
author: Ph. Feinsilver
author: R. Schott
published in: Discrete Mathematics
publication date: 1998-04-01T00:00:00Z
Mathematics Subject Classification ID: 17B35
Mathematics Subject Classification ID: 16W60
Mathematics Subject Classification ID: 17B30
zbMATH DE Number: 1135937
zbMATH Keywords: operator calculus
zbMATH Keywords: noncommutative variables
zbMATH Keywords: product formulation
zbMATH Keywords: formal exponential series
zbMATH Keywords: canonical boson calculus
zbMATH Keywords: universal enveloping algebra
zbMATH Keywords: Hamilton's equations
zbMATH Keywords: Volterra product
zbMATH Keywords: three-step nilpotent Lie algebra
MaRDI profile type: Publication
cites work: Q3691074
cites work: Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula
cites work: Iterated path integrals
cites work: Observability of Systems on Lie Groups and Coset Spaces
cites work: On finite volterra series which admit hamiltonian realizations
cites work: Computing with P.B.W. in enveloping algebras
cites work: Special functions and infinite-dimensional representations of Lie groups
cites work: Q4840464
cites work: An operator calculus approach to the evolution of dynamic data structures
cites work: Q4199917
cites work: Fonctionnelles causales non linéaires et indéterminées non commutatives
cites work: Stabilité d'un type élémentaire d'équations diffé rentielles stochastiques à bruits vectoriesl
cites work: Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives
cites work: Q3727900
cites work: Q3959217
cites work: Q4309938
cites work: A survey of product-integration with a view toward application in survival analysis
cites work: Nilpotent and High-Order Approximations of Vector Field Systems
cites work: Controllability of Nonlinear Discrete-Time Systems: A Lie-Algebraic Approach
cites work: Q4135772
cites work: Quantum probability for probabilists
cites work: Q4857368
cites work: Q3337276
cites work: Lie Brackets and Local Controllability: A Sufficient Condition for Scalar-Input Systems
cites work: A General Theorem on Local Controllability
cites work: Q4126565
cites work: On Global Representations of the Solutions of Linear Differential Equations as a Product of Exponentials
cites work: Lie Algebraic Solution of Linear Differential Equations
description: scientific article; zbMATH DE number 1135937