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Topics in Quantum Groups and Finite-Type Invariants: Mathematics at the Independent University of Moscow

, 1998
Algebra: Semi-infinite cohomology of quantum groups. II by S. M. Arkhipov Symmetry groups of regular polyhedra over finite fields by David Erschler Coordinate ring of the quantum Grassmannian and intertwiners for the representations of Sklyanin algebras ...
S. Arkhipov   +4 more
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Mathematical Physics in Mathematics and Physics

2001
An application of the DR-duality theory for compact groups to endomorphism categories of C*-algebras with nontrivial center by H. Baumgartel and F. Lledo Modular invariants and subfactors by J. Bockenhauer and D. E. Evans On the PCT-theorem in the theory of local observables by H. J. Borchers and J.
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The Classical Groups

, 1940
In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations.
H. Weyl
semanticscholar   +1 more source

О градуированных полугрупповых $C^*$-алгебрах и гильбертовых модулях

Труды Математического института имени В. А. Стеклова, 2021
Изучаются редуцированные полугрупповые $C^*$-алгебры для произвольных полугрупп с сокращением. Доказывается, что если существует полугрупповой эпиморфизм из полугруппы на произвольную группу, то соответствующая полугрупповая $C^*$-алгебра является топологически градуированной по этой группе.
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Frobenius Algebras and 2-D Topological Quantum Field Theories

, 2004
This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras.
Joachim Kock
semanticscholar   +1 more source

Spectral Theory and Quantum Mechanics: Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation

2017
This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics. After exploring physical phenomenology, it then turns its attention to the formal and logical aspects of the theory ...
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C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics

The present book grew from lecture notes we have written for participants of lectures on applications of C^{∗}-algebra theory to the foundations of quantum statistical mechanics, as well as a mini-course on thermodynamic equilibrium of quantum lattice systems with mean-field interactions, we held at the Institute of Physics of the University of São ...
Bru, J.-B., de Siqueira Pedra, W.
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Квантовое исчисление и идеалы в алгебре компактных операторов

Труды Математического института имени В.А. Стеклова, 2019
Одной из задач некоммутативной геометрии является перевод основных понятий анализа на язык банаховых алгебр. Этот перевод осуществляется с помощью процедуры квантования. Возникающее в результате операторное исчисление называют, следуя Конну, квантовым исчислением.
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Deep Beauty

2011
No scientific theory has caused more puzzlement and confusion than quantum theory. Physics is supposed to help us to understand the world, but quantum theory makes it seem a very strange place. This book is about how mathematical innovation can help us gain deeper insight into the structure of the physical world.
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