Results 21 to 30 of about 660,880 (274)
Quantum group sigma models [PDF]
Journal of Physics A: Mathematical and General, 1993 Comment: 20 ...
Frishman, Y. +2 more
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Polyadic Hopf Algebras and Quantum Groups
East European Journal of Physics, 2021 This article continues the study of concrete algebra-like structures in our polyadic approach, where the arities of all operations are initially taken as arbitrary, but the relations between them, the arity shapes, are to be found from some natural ...
S. Duplij
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Frobenius–Schur Indicator for Categories with Duality
Axioms, 2012 We introduce the Frobenius–Schur indicator for categories with duality to give a category-theoretical understanding of various generalizations of the Frobenius–Schur theorem including that for semisimple quasi-Hopf algebras, weak Hopf C*-algebras and ...
Kenichi Shimizu
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Quantum reference frames for general symmetry groups [PDF]
Quantum, 2020 A fully relational quantum theory necessarily requires an account of changes of quantum reference frames, where quantum reference frames are quantum systems relative to which other systems are described.
Anne-Catherine de la Hamette +1 more
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Journal of Algebra, 2001 An entwining structure [\textit{T. Brzeziński} and \textit{S. Majid}, Commun. Math. Phys. 191, No. 2, 467-492 (1998; Zbl 0899.55016)] comprises an algebra \(A\), a coalgebra \(C\) and a linear map \(\psi\colon C\otimes A\to A\otimes C\), which is compatible with the multiplication and unit of \(A\), and the comultiplication and counit of \(C ...
Hobst, Daniela, Pareigis, Bodo
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Cyclicity for categorified quantum groups [PDF]
, 2015 We equip the categorified quantum group attached to a KLR algebra and an arbitrary choice of scalars with duality functor which is cyclic, that is, such that f=f^** for all 2-morphisms f. This is accomplished via a modified diagrammatic formalism.Comment:
Beliakova, Anna +3 more
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Eisenstein series and quantum groups [PDF]
, 2016 We sketch a proof of a conjecture of [FFKM] that relates the geometric Eisenstein series sheaf with semi-infinite cohomology of the small quantum group with coefficients in the tilting module for the big quantum ...
Gaitsgory, Dennis
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Quantum group and quantum symmetry [PDF]
Physics Reports, 1995 This is a self-contained review on the theory of quantum group and its applications to modern physics. A brief introduction is given to the Yang-Baxter equation in integrable quantum field theory and lattice statistical physics. The quantum group is primarily introduced as a systematic method for solving the Yang-Baxter equation.
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Introduction to the Yang-Baxter Equation with Open Problems
Axioms, 2012 The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C. N. Yang, and in statistical mechanics, in R. J. Baxter’s work.
Florin Nichita
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Quantum exponentials for the modular double and applications in gravity models
Journal of High Energy Physics, 2023 In this note, we propose a decomposition of the quantum matrix group SL q + $$ {\textrm{SL}}_q^{+} $$ (2, ℝ) as (deformed) exponentiation of the quantum algebra generators of Faddeev’s modular double of U q ( sl $$ \mathfrak{sl} $$ (2, ℝ)).
Thomas G. Mertens
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