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

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Kurt Magnus (o.Professor und Direktor)The present contribution is based on the work [1], where the motion of a particle on a circle is studied using the general method of covariant integral quantization of semi-direct product groups for the special case of E(2). We have added to the original work the analysis of the classical limit.

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https://doi.org/10.1007/978-3-662-61184-5The 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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https://doi.org/10.1007/978-1-4613-1019-8We 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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Melnikov functions in the rigid body dynamicswe review our recent results about perturbations of two cases in the rigid body dynamics: the hess–appelrot case and the lagrange case.

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