A FURTHER STUDY ON NON-ABELIAN PHASE SPACES: LEFT-SYMMETRIC ALGEBRAIC APPROACH AND RELATED GEOMETRY
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Publication:5493907
DOI10.1142/S0129055X06002711zbMath1110.17008MaRDI QIDQ5493907
Publication date: 16 October 2006
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Symplectic manifolds (general theory) (53D05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Nonassociative algebras satisfying other identities (17A30)
Related Items (22)
Graded Left Symmetric Pseudo-algebras ⋮ Symplectic, product and complex structures on 3-Lie algebras ⋮ Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras ⋮ Relative Rota-Baxter operators and symplectic structures on Lie-Yamaguti algebras ⋮ Special symplectic Lie groups and hypersymplectic Lie groups ⋮ On left symmetric color algebras ⋮ Left-symmetric superalgebra structures on the super Galilean conformal algebra ⋮ A left-symmetric algebraic approach to left invariant flat (pseudo-)metrics on Lie groups ⋮ Symplectic structures, product structures and complex structures on Leibniz algebras ⋮ LEFT-SYMMETRIC BIALGEBRAS AND AN ANALOGUE OF THE CLASSICAL YANG–BAXTER EQUATION ⋮ Left-symmetric algebra structures on the \(W\)-algebra \(W(2, 2)\) ⋮ On parakähler Hom-Lie algebras and Hom-left-symmetric bialgebras ⋮ Left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra ⋮ Unnamed Item ⋮ Some non-abelian phase spaces in low dimensions ⋮ Left-symmetric superalgebra structures on the N = 2 superconformal algebras ⋮ CLASSIFICATION OF GRADED LEFT-SYMMETRIC ALGEBRAIC STRUCTURES ON WITT AND VIRASORO ALGEBRAS ⋮ Left-symmetric algebroids ⋮ Categorification of Pre-Lie Algebras and Solutions of 2-graded Classical Yang-Baxter Equations ⋮ Rota-Baxter operators on pre-Lie superalgebras ⋮ Left-symmetric conformal algebras and vertex algebras ⋮ Bihom-pre-Lie superalgebras and related structures
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