Quantization of Linear Poisson Structures and Degrees of Maps

Quantization of Linear Poisson Structures and Degrees of Maps

1.1. Kontsevich’s quantization. Recently, Kontsevich [3] provided a deformation quantization of the algebra of functions on an arbitrary Poisson manifold. The key ingredient of his construction is the quantization formula for R, which is then extended to the case of general manifolds using formal geometry. The terms of the star product are identified with certain Feynman graphs, and their coeff...

on the effect of linear & non-linear texts on students comprehension and recalling

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On quantization of quadratic Poisson structures

Any classical r-matrix on the Lie algebra of linear operators on a real vector space V gives rise to a quadratic Poisson structure on V which admits a deformation quantization stemming from the construction of V. Drinfel’d [Dr], [Gr]. We exhibit in this article an example of quadratic Poisson structure which does not arise this way.

non-linear study of various slit shear walls in steel structures

seismic retrofit strategies have been developed in the past few decades following the introduction of new seismic provisions and the availability of advanced materials and methods. it can be observed that new approaches to deal with more lateral forces are more innovative and more energy absorbent. in line with this, there is a growing trend toward the use of steel shear walls as a system with ...

A Survey of Invertibility and Spectrum Preserving Linear Maps