Differential equations in algebras

Yakov Krasnov

doi:10.1007/978-3-7643-9893-4_12

Differential equations in algebras

Yakov Krasnov

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

9 Scopus citations

Abstract

The aim of this work is to investigate how topological and dynamical properties of differential equations (in the sequel DE) are reflected in the associated algebras, as well as to show how basic algebraic concepts provide valuable insights in DE.

Original language	English
Title of host publication	Hypercomplex Analysis
Editors	Irene Sabadini, Michael Shapiro, Frank Sommen
Publisher	Springer International Publishing
Pages	187-205
Number of pages	19
ISBN (Print)	9783764398927
DOIs	https://doi.org/10.1007/978-3-7643-9893-4_12
State	Published - 2009
Event	6th ISAAC Conference on Quaternionic and Clifford Analysis, 2007 - Ankara, Turkey Duration: 1 Aug 2007 → …

Publication series

Name	Trends in Mathematics
Volume	48
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Conference

Conference	6th ISAAC Conference on Quaternionic and Clifford Analysis, 2007
Country/Territory	Turkey
City	Ankara
Period	1/08/07 → …

Bibliographical note

Publisher Copyright:
© 2008 Birkhäuser Verlag Basel/Switzerland.

Keywords

Dirac equation
Idempotents
Non-associative algebra
Peirce number
Riccati equation
Symmetry operator

Access to Document

10.1007/978-3-7643-9893-4_12

Cite this

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keywords = "Dirac equation, Idempotents, Non-associative algebra, Peirce number, Riccati equation, Symmetry operator",

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KW - Dirac equation

KW - Idempotents

KW - Non-associative algebra

KW - Peirce number

KW - Riccati equation

KW - Symmetry operator

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Differential equations in algebras

Abstract

Publication series

Conference

Bibliographical note

Keywords

Access to Document

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