Left-symmetric algebra structures on the \(W\)-algebra \(W(2, 2)\)

DOI10.1016/j.laa.2012.05.010zbMath1276.17014OpenAlexW2019300091MaRDI QIDQ445845

Junbo Li, Hongjia Chen

Publication date: 27 August 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.05.010

zbMATH Keywords

left-symmetric algebra2)W-algebra W(2

Mathematics Subject Classification ID

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

Related Items (14)

Structures of a class of deformative super W-algebras ⋮ Compatible left-symmetric algebraic structures on high rank Witt and Virasoro algebras ⋮ Compatible left-symmetric conformal algebras on W(a, b) ⋮ Left-symmetric superalgebras on special linear Lie superalgebras ⋮ Left-symmetric superalgebra structures on the super Galilean conformal algebra ⋮ Local derivations on the Lie 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 ⋮ Lie super-bialgebra structures on a class of generalized super W-algebra L ⋮ Rota-Baxter operators on pre-Lie superalgebras ⋮ Unnamed Item ⋮ 2-Local derivations on the W-algebra W(2,2)

Cites Work

• \(W\)-algebra \(W\)(2, 2) and the vertex operator algebra \({L(\frac{1}{2},\,0)\,\otimes\, L(\frac{1}{2},\,0)}\)
• Left-symmetric superalgebraic structures on the super-Virasoro algebras
• Complete left-invariant affine structures on nilpotent Lie groups
• Flat left-invariant connections adapted to the automorphism structure of a Lie group
• Cohomologies and deformations of right-symmetric algebras
• Classical Yang-Baxter equation and left invariant affine geometry on Lie groups
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• CLASSIFICATION OF GRADED LEFT-SYMMETRIC ALGEBRAIC STRUCTURES ON WITT AND VIRASORO ALGEBRAS
• The derivations, central extensions and automorphism group of the Lie algebra $W$
• Lie Bialgebra Structures on the Centerless W-Algebra W(2,2)
• Classification of irreducible weight modules over W-algebra W(2,2)
• On the Nature of the Virasoro Algebra
• A FURTHER STUDY ON NON-ABELIAN PHASE SPACES: LEFT-SYMMETRIC ALGEBRAIC APPROACH AND RELATED GEOMETRY

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