Results 1 to 10 of about 372,312 (98)

Quantum Diffusions and Appell Systems [PDF]

open access: yes, 2000
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
core   +2 more sources

Subfactors and Applications [PDF]

open access: yes, 2019
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 ...

core   +2 more sources

C*-Algebras, Dynamics, and Classification [PDF]

open access: yes, 2012
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 ...

core   +2 more sources

Groups, operator algebras and approximation [PDF]

open access: yes, 2021
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
core   +1 more source

The pre-Lie structure of the time-ordered exponential

open access: yes, 2013
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
core   +1 more source

On analysis in differential algebras and modules [PDF]

open access: yes, 2018
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]

open access: yesInternational Journal of Mathematics and Mathematical Sciences 2006 (2006), Article ID 69248, 21 pages., 2006
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]

open access: yes, 2017
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
core   +2 more sources

Ola Bratteli and his diagrams [PDF]

open access: yes, 2019
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
core   +3 more sources

Cremmer-Gervais Quantum Lie Algebra [PDF]

open access: yes, 2009
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

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