Frobenius manifolds from regular classical W-algebras

Yassir Ibrahim Dinar

doi:10.1016/j.aim.2010.12.024

Frobenius manifolds from regular classical W-algebras

Yassir Ibrahim Dinar

Mathematics

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

Abstract

We obtain polynomial Frobenius manifolds from classical W-algebras associated to regular nilpotent elements in simple Lie algebras using the related opposite Cartan subalgebras.

Original language	English (US)
Pages (from-to)	5018-5040
Number of pages	23
Journal	Advances in Mathematics
Volume	226
Issue number	6
DOIs	https://doi.org/10.1016/j.aim.2010.12.024
State	Published - Apr 1 2011

Keywords

Bihamiltonian geometry
Classical W-algebras
Drinfeld-Sokolov reduction
Frobenius manifolds
Opposite Cartan subalgebra
Primary
Secondary
Slodowy slice

ASJC Scopus subject areas

General Mathematics

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10.1016/j.aim.2010.12.024

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title = "Frobenius manifolds from regular classical W-algebras",

abstract = "We obtain polynomial Frobenius manifolds from classical W-algebras associated to regular nilpotent elements in simple Lie algebras using the related opposite Cartan subalgebras.",

keywords = "Bihamiltonian geometry, Classical W-algebras, Drinfeld-Sokolov reduction, Frobenius manifolds, Opposite Cartan subalgebra, Primary, Secondary, Slodowy slice",

author = "Dinar, {Yassir Ibrahim}",

year = "2011",

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doi = "10.1016/j.aim.2010.12.024",

language = "English (US)",

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N2 - We obtain polynomial Frobenius manifolds from classical W-algebras associated to regular nilpotent elements in simple Lie algebras using the related opposite Cartan subalgebras.

AB - We obtain polynomial Frobenius manifolds from classical W-algebras associated to regular nilpotent elements in simple Lie algebras using the related opposite Cartan subalgebras.

KW - Bihamiltonian geometry

KW - Classical W-algebras

KW - Drinfeld-Sokolov reduction

KW - Frobenius manifolds

KW - Opposite Cartan subalgebra

KW - Primary

KW - Secondary

KW - Slodowy slice

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VL - 226

SP - 5018

EP - 5040

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 6

ER -

Frobenius manifolds from regular classical W-algebras

Abstract

Keywords

ASJC Scopus subject areas

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