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Titlebook: Geometric Methods in Physics XXXVII; Workshop and Summer Piotr Kielanowski,Anatol Odzijewicz,Emma Previato Conference proceedings 2019 Spr

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Deformation Quantization of Commutative Families and Vector FieldsWe describe a series of cohomological obstructions for the deformation of involutive families of functions on a Poisson manifold and for the deformation of Poisson vector fields acting on it.
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On the quantum flag manifold SUq(3)/T2The structure of the C *-algebra of functions on the quantum flag manifold SUq(3)/T2 is investigated. Building on the representation theory of C ( SUq(3) ) , we analyze irreducible representations and the primitive ideal space of C ( SUq(3)/T2) , with a view towards unearthing the “quantum sphere bundle” CP1 q → SUq(3)/T2 → CP2 q .
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Hopf–Rinow theorem in Grassmann manifolds of ,-algebrasWe survey several results on the problem of finding a geodesic of minimal length joining two given endpoints in Grassmann manifolds of .- algebras.
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Cultural Keywords in Philippine English. The internal symmetry of the problem makes it possible to reduce the dimension of the problem using the symplectic-quotient theory. The phase-space is constructed from the orbits of (co)adjoint representation of the general linear group. The presented parametrisation of the quotientspace is based
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Elisabeth Remy,Brigitte Mossé,Denis Thieffrytors are constructed and used to compute the integrals of motion. The same investigation is performed with the introduction of the Laplace{ Runge{Lenz vector. The existence of quasi-bi-Hamiltonian structures is also elucidated. Related properties are studied.
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