On classification and construction of algebraic Frobenius manifolds

Yassir Ibrahim Dinar

doi:10.1016/j.geomphys.2008.04.001

On classification and construction of algebraic Frobenius manifolds

Yassir Ibrahim Dinar^*

^*Corresponding author for this work

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

11 Citations (Scopus)

Abstract

We develop the theory of generalized bi-Hamiltonian reduction. Applying this theory to a suitable loop algebra we recover a generalized Drinfeld-Sokolov reduction. This gives a way to construct new examples of algebraic Frobenius manifolds.

Original language	English
Pages (from-to)	1171-1185
Number of pages	15
Journal	Journal of Geometry and Physics
Volume	58
Issue number	9
DOIs	https://doi.org/10.1016/j.geomphys.2008.04.001
Publication status	Published - Sept 2008
Externally published	Yes

Keywords

Bi-Hamiltonian manifolds
Dirac reduction
Frobenius manifolds
Integrable systems

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

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10.1016/j.geomphys.2008.04.001

Cite this

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title = "On classification and construction of algebraic Frobenius manifolds",

abstract = "We develop the theory of generalized bi-Hamiltonian reduction. Applying this theory to a suitable loop algebra we recover a generalized Drinfeld-Sokolov reduction. This gives a way to construct new examples of algebraic Frobenius manifolds.",

keywords = "Bi-Hamiltonian manifolds, Dirac reduction, Frobenius manifolds, Integrable systems",

author = "Dinar, {Yassir Ibrahim}",

year = "2008",

month = sep,

doi = "10.1016/j.geomphys.2008.04.001",

language = "English",

volume = "58",

pages = "1171--1185",

journal = "Journal of Geometry and Physics",

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KW - Bi-Hamiltonian manifolds

KW - Dirac reduction

KW - Frobenius manifolds

KW - Integrable systems

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EP - 1185

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 9

ER -

On classification and construction of algebraic Frobenius manifolds

Abstract

Keywords

ASJC Scopus subject areas

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