Integrable systems with BMS3 Poisson structure and the dynamics of locally flat spacetimes
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DOI: 10.1007/jhep01(2018)148
Abstract: A bstractWe construct a hierarchy of integrable systems whose Poisson structure corresponds to the BMS3 algebra, and then discuss its description in terms of the Riemannian geometry of locally flat spacetimes in three dimensions.The analysis… read more here.
Keywords: integrable systems; systems bms3; poisson structure; locally flat ... See more keywords
Recurrence relations for symplectic realization of (quasi)-Poisson structures
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DOI: 10.1088/1751-8121/ab10e8
Abstract: It is known that any Poisson manifold can be embedded into a bigger space which admites a description in terms of the canonical Poisson structure, i.e., Darboux coordinates. Such a procedure is known as a… read more here.
Keywords: symplectic realization; poisson; poisson structures; poisson structure ... See more keywords
On the Standard Poisson Structure and a Frobenius Splitting of the Basic Affine Space
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DOI: 10.1093/imrn/rnz179
Abstract: The goal of this paper is to construct a Frobenius splitting on $G/U$ via the Poisson geometry of $(G/U,\pi _{{{\scriptscriptstyle G}}/{{\scriptscriptstyle U}}})$, where $G$ is a simply connected semi-simple algebraic group defined over an algebraically… read more here.
Keywords: standard poisson; poisson; geometry; poisson structure ... See more keywords