
Geometric Methods in Physics
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The volume will be of interest to researchers and graduate students in mathematical physics, theoretical physics and mathematmtics.
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Content
Preface.- Part I: Higher Structures and Non-commutative Geometry.- S. Azzali, C. Lévy, C. Neira-Jiménez and S. Paycha: Traces of Holomorphic Families of Operators on the Noncommutative Torus and on Hilbert Modules.- D. Bashkirov and A. Voronov: r8- Matrices, Triangular L8- Bialgebras, and Quantum8 Groups.- R. Fernandes: Normal Forms and Lie Groupoid Theory .- M. Markl: Higher Braces via Formal (Non)commutative Geometry .- A. Sitarz: Conformally Rescaled Noncommutative Geometries .- Part II: Quantm Mechanics and Field Theory.- S. Twareque Ali: On Some Quaternionic Coherent States and Wavelets .- I. Aremua, E. Baloïtcha and M. N. Hounkonnou: Supersymmetric Vector Coherent States for Systems with Zeeman Coupling and Spin-orbit Interactions .- D.S. Kaparulin and S.L. Lyakhovich: Energy and Stability of Pais-Uhlenbeck Oscillator .- Yoshiaki Maeda, Akifumi Sako, Toshiya Suzuki and Hiroshi Umetsu: Deformation Quantization with Separation of Variables and Gauge Theories .- Ali Mostafazadeh: Physics of Spectral Singularities .- Armen Sergeev: On the Moduli Space of Yang-Mills Fields on R^ 4 .- A. A. Sharapov: On Covariant Poisson Brackets in Field Theory .- Part III: Groups and Algebras.- G. Chadzitaskos, L. Háková and O. Kajínek: Weyl Group Orbit Functions in Image Processing .- V.F. Molchanov: Poisson and Fourier Transforms for Tensor Products and an Overalgebra .- N. Moshchevitin: Unipotent Flow on SL2( Z )\SL2( R ): from Dynamics to Elementary Number Theory .- Martin Schlichenmaier: Lie Superalgebras of Krichever-Novikov Type .- E.G. Vishnyakova: On n-ary Lie algebras of type (r; l) .- Part IV: Integrable Systems and Special Functions.- A. Dobrogowska and G. Jakimowicz: The class of (q; h) -Hahn Orthogonal Polynomials .- A. Dobrogowska and T. Golinski: Examples of Hamiltonian Systems on theSpace of Deformed Skew-symmetric Matrices .- Y. A. Neretin: Matrix Beta-integrals: an Overview .- A. Savin and B. Sternin: Differential Equations on Complex Manifolds .- E. Schmeidel, J. Zonenberg and B. Lupinska: Asymptotic Properties of Solutions of Neutral Type Difference System with Delays .- E. Shemyakova: Orbits of Darboux Groupoid for Hyperbolic Operators of Order Three .- Part V: Special Economic Session.- B. Mielnik: From Nicolaus Copernicus Economical Law up to the Present Day Economic Disasters .- L. Hardt: Economics - Physics of Social Sciences or Art? .
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