CLASSIFICATION OF GRADED LEFT-SYMMETRIC ALGEBRAIC STRUCTURES ON WITT AND VIRASORO ALGEBRAS

DOI10.1142/S0129167X11006751zbMath1278.17028arXiv0706.4229MaRDI QIDQ3086235

Hongjia Chen, Xiaoli Kong, Cheng-Ming Bai

Publication date: 30 March 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.4229

zbMATH Keywords

Lie algebraWitt algebraVirasoro algebraleft-symmetric algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Lie-admissible algebras (17D25)

Related Items (14)

A class of non-graded left-symmetric algebraic structures on the Witt algebra ⋮ Compatible left-symmetric algebraic structures on high rank Witt and Virasoro algebras ⋮ Left-symmetric superalgebras on special linear Lie superalgebras ⋮ Left-symmetric superalgebra structures on the super Galilean conformal algebra ⋮ Lie-admissible structures on Witt type algebras ⋮ Left-symmetric algebra structures on the \(W\)-algebra \(W(2, 2)\) ⋮ Left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra ⋮ Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra W(a,b) ⋮ Unnamed Item ⋮ Left-symmetric superalgebra structures on the N = 2 superconformal algebras ⋮ Post-Lie algebra structures on the Witt algebra ⋮ Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties ⋮ Rota-Baxter operators on pre-Lie superalgebras ⋮ Left-symmetric conformal algebras and vertex algebras

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