Quasigraded Lie Algebras and Modified Toda Field Equations

We construct a family of quasigraded Lie algebras that coincide with the deformations of the loop algebras in "principal" gradation and admit Kostant-Adler-Symes scheme. Using them we obtain new Volterra coupled systems and modified Toda field equations for all series of classical matrix L...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2006
1. Verfasser: Skrypnyk, T.V.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2006
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/146184
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Quasigraded Lie Algebras and Modified Toda Field Equations / T.V. Skrypnyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 29 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
_version_ 1862571663103623168
author Skrypnyk, T.V.
author_facet Skrypnyk, T.V.
citation_txt Quasigraded Lie Algebras and Modified Toda Field Equations / T.V. Skrypnyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 29 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description We construct a family of quasigraded Lie algebras that coincide with the deformations of the loop algebras in "principal" gradation and admit Kostant-Adler-Symes scheme. Using them we obtain new Volterra coupled systems and modified Toda field equations for all series of classical matrix Lie algebras g.
first_indexed 2025-11-26T05:07:29Z
format Article
fulltext
id nasplib_isofts_kiev_ua-123456789-146184
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-11-26T05:07:29Z
publishDate 2006
publisher Інститут математики НАН України
record_format dspace
spelling Skrypnyk, T.V.
2019-02-07T20:35:44Z
2019-02-07T20:35:44Z
2006
Quasigraded Lie Algebras and Modified Toda Field Equations / T.V. Skrypnyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 29 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 37K05; 37K30
https://nasplib.isofts.kiev.ua/handle/123456789/146184
We construct a family of quasigraded Lie algebras that coincide with the deformations of the loop algebras in "principal" gradation and admit Kostant-Adler-Symes scheme. Using them we obtain new Volterra coupled systems and modified Toda field equations for all series of classical matrix Lie algebras g.
Author is grateful to P. Holod, S. Zykov and M. Pavlov for discussions. The research was supported by INTAS YS Fellowship Nr 03-55-2233 and by the French-Ukrainian project “Dnipro”.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Quasigraded Lie Algebras and Modified Toda Field Equations
Article
published earlier
spellingShingle Quasigraded Lie Algebras and Modified Toda Field Equations
Skrypnyk, T.V.
title Quasigraded Lie Algebras and Modified Toda Field Equations
title_full Quasigraded Lie Algebras and Modified Toda Field Equations
title_fullStr Quasigraded Lie Algebras and Modified Toda Field Equations
title_full_unstemmed Quasigraded Lie Algebras and Modified Toda Field Equations
title_short Quasigraded Lie Algebras and Modified Toda Field Equations
title_sort quasigraded lie algebras and modified toda field equations
url https://nasplib.isofts.kiev.ua/handle/123456789/146184
work_keys_str_mv AT skrypnyktv quasigradedliealgebrasandmodifiedtodafieldequations