Results 21 to 30 of about 43,752 (85)
Graded twisting of categories and quantum groups by group actions [PDF]
, 2016 Given a Hopf algebra $A$ graded by a discrete group together with an action of the same group preserving the grading, we define a new Hopf algebra, which we call the graded twisting of $A$. If the action is adjoint, this new Hopf algebra is a twist of $A$
Bichon, Julien +2 more
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A Quantum Algebra Approach to Multivariate Askey–Wilson Polynomials [PDF]
International mathematics research notices, 2018 We study matrix elements of a change of basis between two different bases of representations of the quantum algebra ${\mathcal{U}}_q(\mathfrak{s}\mathfrak{u}(1,1))$.
Wolter G. M. Groenevelt
semanticscholar +1 more source
, 2000 This paper is a continuation of math.QA/9907181 and math.QA/9908115. We consider traces of intertwiners between certain representations of the quantized enveloping algebra associated to a semisimple complex Lie algebra g, which are twisted by a ...
Etingof, P., Schiffmann, O.
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Invertible defects and isomorphisms of rational CFTs [PDF]
, 2010 Given two two-dimensional conformal field theories, a domain wall —or defect line— between them is called invertible if there is another defect with which it fuses to the identity defect.
Davydov, Alexei +2 more
core +3 more sources
$\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems [PDF]
, 2010 Some classes of Deformed Special Relativity (DSR) theories are reconsidered within the Hopf algebraic formulation. For this purpose we shall explore a minimal framework of deformed Weyl-Heisenberg algebras provided by a smash product construction of DSR ...
Borowiec, Andrzej, Pachoł, Anna
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Elliptic algebra, Frenkel-Kac construction and root of unity limit
, 2017 We argue that the level-$1$ elliptic algebra $U_{q,p}(\widehat{\mathfrak{g}})$ is a dynamical symmetry realized as a part of 2d/5d correspondence where the Drinfeld currents are the screening currents to the $q$-Virasoro/W block in the 2d side.
Itoyama, Hiroshi +2 more
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Dynamical R Matrices of Elliptic Quantum Groups and Connection Matrices for the q-KZ Equations [PDF]
, 2006 For any affine Lie algebra ${\mathfrak g}$, we show that any finite dimensional representation of the universal dynamical $R$ matrix ${\cal R}(\lambda)$ of the elliptic quantum group ${\cal B}_{q,\lambda}({\mathfrak g})$ coincides with a corresponding ...
Konno, Hitoshi
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Twisted Configurations over Quantum Euclidean Spheres
, 2002 We show that the relations which define the algebras of the quantum Euclidean planes $\b{R}^N_q$ can be expressed in terms of projections provided that the unique central element, the radial distance from the origin, is fixed.
Connes +9 more
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Compiling basic linear algebra subroutines for quantum computers [PDF]
Quantum Machine Intelligence, 2019 Efficiently processing basic linear algebra subroutines is of great importance for a wide range of computational problems. In this paper, we consider techniques to implement matrix functions on a quantum computer.
Liming Zhao +3 more
semanticscholar +1 more source
, 2007 Gaudin algebras form a family of maximal commutative subalgebras in the tensor product of $n$ copies of the universal enveloping algebra $U(\g)$ of a semisimple Lie algebra $\g$.
A. Ballesteros +23 more
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