Frobenius manifolds from regular classical $W$-algebras

Autor:	Yassir Ibrahim Dinar
Jazyk:	angličtina
Rok vydání:	2010
Předmět:	Mathematics - Differential Geometry Pure mathematics Mathematics(all) General Mathematics FOS: Physical sciences 01 natural sciences Drinfeld–Sokolov reduction symbols.namesake Bihamiltonian geometry Mathematics::Quantum Algebra 0103 physical sciences Lie algebra Frobenius algebra FOS: Mathematics 0101 mathematics Frobenius group Mathematics::Representation Theory Slodowy slice Mathematical Physics Mathematics Frobenius theorem (real division algebras) 010102 general mathematics Mathematics::Rings and Algebras Mathematical Physics (math-ph) Algebra Nilpotent 37K10 35D45 Opposite Cartan subalgebra Differential Geometry (math.DG) symbols 010307 mathematical physics Mathematics::Differential Geometry Frobenius manifolds Classical W-algebras
Zdroj:	Advances in Mathematics
Popis:	We obtain polynomial Frobenius manifolds from classical W-algebras associated to regular nilpotent elements in simple Lie algebras using the related opposite Cartan subalgebras.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7cec5bf401065ef37eac91887df7b6e http://arxiv.org/abs/1001.0611 Zobrazit plný text záznamu