منابع مشابه
Deformations of Quantum Hyperplanes
We consider the quantum hyperplane x ' x J = q , j x J x ' (i, j = 1..n) and define and consider = 'J and fl'J are complex numbers. We deformations of the form x ' x J q,~ x J x ~ + Zk ~ J X k + fl'J, where ~k prove that for generic q,j no nontrivial deformations exist for n/> 3 Mathematics Subject Classifications (1991). 17B37, 16E40.
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We calculate the Hochschild dimension of quantum hyperplanes using the twisted Hochschild homology.
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A Poisson coalgebra analogue of a (non-standard) quantum deformation of sl(2) is shown to generate an integrable geodesic dynamics on certain 2D spaces of nonconstant curvature. Such a curvature depends on the quantum deformation parameter z and the flat case is recovered in the limit z → 0. A superintegrable geodesic dynamics can also be defined in the same framework, and the corresponding spa...
متن کامل” Quantum Groups , Deformations , and Geometry ”
Andrea Appel: Cohomological properties of universal relative twists Abstract: In 1995, Donin and Shnider provided a new approach to the quantization of a complex semisimple Lie algebra g, using cohomological methods to directly construct a twist, i.e. an element which reduces the nontrivial associator in the Drinfeld category of U(g) to the trivial associativity constraint. Their methods were l...
متن کاملDeformations of Multiparameter Quantum Gl(n )
Multiparameter quantum gl(N) is not a rigid structure. This paper defines an essential deformation as one that cannot be interpreted in terms of a similarity transformation, nor as a perturbation of the parameters. All the equivalence classes of first order essential deformations are found, as well as a class of exact deformations. This work provides quantization of all the classical Lie bialge...
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 1996
ISSN: 0377-9017,1573-0530
DOI: 10.1007/bf00714374