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• W2064099411 abstract "The notion of non-abelian phase space of a Lie algebra was first formulated and then discussed by Kuperschmidt. In this paper, we further study the non-abelian phase spaces in terms of left-symmetric algebras. We interpret the natural appearance of left-symmetric algebras from the intrinsic algebraic properties and the close relations with the classical Yang–Baxter equation. Furthermore, using the theory of left-symmetric algebras, we study some interesting geometric structures related to phase spaces. Moreover, we also discuss the generalized phase spaces with certain non-trivial algebraic structures on the dual spaces." @default.
• W2064099411 created "2016-06-24" @default.
• W2064099411 creator A5014897749 @default.
• W2064099411 date "2006-06-01" @default.
• W2064099411 modified "2023-09-28" @default.
• W2064099411 title "A FURTHER STUDY ON NON-ABELIAN PHASE SPACES: LEFT-SYMMETRIC ALGEBRAIC APPROACH AND RELATED GEOMETRY" @default.
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• W2064099411 doi "https://doi.org/10.1142/s0129055x06002711" @default.
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