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A new and extremely important property of the algebraic structure of symmetries of nonlinear infinite-dimensional integrable Hamiltonian dynamical systems is described. It is that their invariance groups are isomorphic to a unique universal Banach Lie group of currents G = l /circled dot/Diff (T/sup n/) on an n-dimensional torus T/sup n/.
N. N. Bogolyubov, A. K. Prikarpatskii
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Quantum Algebras and Poisson Geometry in Mathematical Physics
Noncommutative algebras, nanostructures, and quantum dynamics generated by resonances by M. Karasev Algebras with polynomial commutation relations for a quantum particle in electric and magnetic fields by M. Karasev and E. Novikova Poisson structures and linear Euler systems over symplectic manifolds by Y. Vorobjev Poisson equivalence over a symplectic
M. V. Karasev, Maria Shishkova
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Quantum Computing Techniques for Numerical Linear Algebra in Computational Mathematics
Quantum computing is a new and exciting area of computational mathematics that has the ability to solve very hard problems that traditional computing methods have not been able to solve for a long time. This abstract goes into detail about how quantum computing can be used in numerical linear algebra, which is an important part of computational ...
Sharada Narsingrao Ohatkar
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This paper delves into the complex mathematical structures and physical applications underlying the work \textit{Dyson--Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory} by Paul-Hermann Balduf.
Wen-Xiang Chen
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MULTIDIMENSIONAL HYPERGEOMETRIC FUNCTIONS AND REPRESENTATION THEORY OF LIE ALGEBRAS AND QUANTUM GROUPS (Advanced Series in Mathematical Physics 21) [PDF]
Shahn Majid
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Quantum groups: A path to current algebra (Australian Mathematical Society Lecture Series 19)
Stéphane Launois
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C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics
J.-B. Bru, W. de Siqueira Pedra
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FROBENIUS ALGEBRAS AND 2D TOPOLOGICAL QUANTUM FIELD THEORIES (London Mathematical Society Student Texts 59) By JOACHIM KOCK: 240 pp., £60.00/US$90.00 (LMS members' price £45.00/US$67.50), £22.99/US$35.00 (LMS members' price £17.24/US$26.25)(P), ISBN 0-521-83267-5/0-521-54031-3(P) (Cambridge University Press, 2003) [PDF]
David N. Yetter
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