Frobenius manifolds from regular classical W-algebras

Yassir Ibrahim Dinar*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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
Issue number6
Publication statusPublished - Apr 1 2011
Externally publishedYes


  • 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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