Frobenius manifolds from regular classical W-algebras

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)5018-5040
Number of pages23
JournalAdvances in Mathematics
Volume226
Issue number6
DOIs
Publication statusPublished - Apr 1 2011

Fingerprint

Frobenius Manifolds
Cartan Subalgebra
Nilpotent Element
W-algebras
Simple Lie Algebra
Polynomial

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Frobenius manifolds from regular classical W-algebras. / Dinar, Yassir Ibrahim.

In: Advances in Mathematics, Vol. 226, No. 6, 01.04.2011, p. 5018-5040.

Research output: Contribution to journalArticle

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