Results 21 to 30 of about 1,238,512 (45)
Intuitionistic quantum logic of an n-level system [PDF]
A decade ago, Isham and Butterfield proposed a topos theoretic approach to quantum mechanics, which meanwhile has been extended by Doering and Isham so as to provide a new mathematical foundation for all of physics.
Landsman, N.P. +19 more
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In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases.
Saemann, Christian; id_orcid +3 more
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Model-Theoretic Investigations into Consequence Operation (Cn) in Quantum Logics: An Algebraic Approach. [PDF]
In this paper, we present the fundamentals of the so-called algebraic approach to propositional quantum logics. We define the set of formulae describing quantum reality as a free algebra freely generated by the set of quantum proportional variables.
WILCZEK, Piotr
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Quantum unique factorisation domains [PDF]
We prove a general theorem showing that iterated skew polynomial extensions of the type that fit the conditions needed by Cauchon's deleting derivations theory and by the Goodearl-Letzter stratification theory are unique factorisation rings in the sense ...
Lenagan, T.H. +5 more
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Smallness problem for quantum affine algebras and quiver varieties [PDF]
33 pages. version préliminaire (2006) d'un travail publié sous forme définitive (2008)International audienceThe geometric small property (Borho-MacPherson) of projective morphisms implies a description of their singularities in terms of intersection ...
Hernandez, David
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Lie algebras: infinite generalizations and deformations [PDF]
There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
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Geometria de fibrados não-comutativos [PDF]
Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas. Programa de Pós-graduação em Matemática e Computação Científica.Neste trabalho iremos generalizar o conceito de fibrados principais para o contexto
Castro, Gilles Gonçalves de
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Weyl, Demazure and fusion modules for the current algebra of slr+1 [PDF]
We construct a Poincaré–Birkhoff–Witt type basis for the Weyl modules [V. Chari, A. Pressley, Weyl modules for classical and quantum affine algebras, Represent. Theory 5 (2001) 191–223, math.QA/0004174] of the current algebra of slr+1.
Loktev, Sergei, Chari, Vyjayanthi
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Poisson and Hochschild cohomology and the semiclassical limit [PDF]
Let $B$ be a quantum algebra possessing a semiclassical limit $A$. We show that under certain hypotheses $B^e$ can be thought of as a deformation of the Poisson enveloping algebra of $A$, and we give a criterion for the Hochschild cohomology of $B$ to
Towers, Matthew
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Twisted Poincare duality for some quadratic Poisson algebras [PDF]
We exhibit a Poisson module restoring a twisted Poincaré duality between Poisson homology and cohomology for the polynomial algebra R=C[X1Xn] endowed with Poisson bracket arising from a uniparametrised quantum affine space.
Stéphane Launois +3 more
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