Results 1 to 10 of about 372,312 (98)
Quantum Diffusions and Appell Systems [PDF]
Within the algebraic framework of Hopf algebras, random walks and associated diffusion equations (master equations) are constructed and studied for two basic operator algebras of Quantum Mechanics i.e the Heisenberg-Weyl algebra (hw) and its q-deformed ...
Abe+36 more
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Subfactors and Applications [PDF]
The theory of subfactors connects diverse topics in mathematics and mathematical physics such as tensor categories, vertex operator algebras, quantum groups, quantum topology, free probability, quantum field theory, conformal field theory, statistical ...
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C*-Algebras, Dynamics, and Classification [PDF]
Classification is a central theme in mathematics, and a particularly rich one in the theory of operator algebras. Indeed, one of the first major results in the theory is Murray and von Neumann’s type classification of factors (weakly closed self-adjoint ...
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Groups, operator algebras and approximation [PDF]
Two main objects of the research in this thesis are countable discrete groups and their operator algebras (C*-algebras and von Neumann algebras).
Alekseev, Vadim
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The pre-Lie structure of the time-ordered exponential
The usual time-ordering operation and the corresponding time-ordered exponential play a fundamental role in physics and applied mathematics. In this work we study a new approach to the understanding of time-ordering relying on recent progress made in the
Ebrahimi-Fard, Kurusch, Patras, Frederic
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On analysis in differential algebras and modules [PDF]
A short introduction to the mathematical methods and technics of differential algebras and modules adapted to the problems of mathematical and theoretical physics is presented.
arxiv +1 more source
(Co)homology of triassociative algebras [PDF]
We study homology and cohomology of triassociative algebras with non-trivial coefficients.
arxiv +1 more source
An intrinsic order-theoretic characterization of the weak expectation property [PDF]
We prove the following characterization of the weak expectation property for operator systems in terms of Wittstock's matricial Riesz separation property: an operator system $S$ satisfies the weak expectation property if and only if $M_{q}(S)$ satisfies ...
Lupini, Martino
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Ola Bratteli and his diagrams [PDF]
This article discusses the life and work of Professor Ola Bratteli (1946--2015). Family, fellow students, his advisor, colleagues and coworkers review aspects of his life and his outstanding mathematical accomplishments.Comment: 18 pages, 15 ...
Bratteli, Tone+8 more
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Cremmer-Gervais Quantum Lie Algebra [PDF]
We describe a quantum Lie algebra based on the Cremmer-Gervais R-matrix. The algebra arises upon a restriction of an infinite-dimensional quantum Lie algebra.
arxiv +1 more source