A Hierarchy of Generalized Invariants for Linear Partial Differential Operators

Elena Kartaschova

doi:10.1007/s11232-006-0079-4

A Hierarchy of Generalized Invariants for Linear Partial Differential Operators

Elena Kartaschova

Research Institute for Symbolic Computation

Research output: Contribution to journal › Article › peer-review

Abstract

We study invariants under gauge transformations of linear partial differential operators on two variables. Using results of BK-factorization we construct hierarchy of general invariants for an operator of arbitrary order. Properties of general invariantsare studied and some examples are presented. We also show that classical Laplace invarians correspond to some particular case of general invariants }, journal = {TMPh (Journal of Theoretical and Mathematical Physics)

Original language	English
Pages (from-to)	839-846
Number of pages	8
Journal	Theoretical and Mathematical Physics
Volume	147
Issue number	3
DOIs	https://doi.org/10.1007/s11232-006-0079-4
Publication status	Published - Jun 2006

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101009 Geometry
101012 Combinatorics
101013 Mathematical logic
101020 Technical mathematics

Access to Document

10.1007/s11232-006-0079-4

Cite this

@article{e37a860505674b8187bfd2f66993f66d,

title = "A Hierarchy of Generalized Invariants for Linear Partial Differential Operators",

abstract = "We study invariants under gauge transformations of linear partial differential operators on two variables. Using results of BK-factorization we construct hierarchy of general invariants for an operator of arbitrary order. Properties of general invariantsare studied and some examples are presented. We also show that classical Laplace invarians correspond to some particular case of general invariants }, journal = {TMPh (Journal of Theoretical and Mathematical Physics)",

author = "Elena Kartaschova",

year = "2006",

month = jun,

doi = "10.1007/s11232-006-0079-4",

language = "English",

volume = "147",

pages = "839--846",

journal = "Theoretical and Mathematical Physics",

issn = "1573-9333",

publisher = "Springer",

number = "3",

}

TY - JOUR

T1 - A Hierarchy of Generalized Invariants for Linear Partial Differential Operators

AU - Kartaschova, Elena

PY - 2006/6

Y1 - 2006/6

N2 - We study invariants under gauge transformations of linear partial differential operators on two variables. Using results of BK-factorization we construct hierarchy of general invariants for an operator of arbitrary order. Properties of general invariantsare studied and some examples are presented. We also show that classical Laplace invarians correspond to some particular case of general invariants }, journal = {TMPh (Journal of Theoretical and Mathematical Physics)

AB - We study invariants under gauge transformations of linear partial differential operators on two variables. Using results of BK-factorization we construct hierarchy of general invariants for an operator of arbitrary order. Properties of general invariantsare studied and some examples are presented. We also show that classical Laplace invarians correspond to some particular case of general invariants }, journal = {TMPh (Journal of Theoretical and Mathematical Physics)

U2 - 10.1007/s11232-006-0079-4

DO - 10.1007/s11232-006-0079-4

M3 - Article

SN - 1573-9333

VL - 147

SP - 839

EP - 846

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

IS - 3

ER -