Results 31 to 40 of about 622,832 (86)

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, Faddeev, Giovanni Landi, John Madore, Masuda, Masuda, Ogievetsky, Podleś, Vaksman, Woronowicz   +9 more
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Two-Dimensional Centrally Extended Quantum Galilei Groups and their Algebras [PDF]

J.Phys.A33:1941-1960,2000, 1999
All deformations of two dimensional centrally extended Galilei group are classified. The corresponding quantum Lie algebras are found.
arxiv   +1 more source

Jordanian Quantum Algebra ${\cal U}_{\sf h}(sl(N))$ via Contraction Method and Mapping

, 2001
Using the contraction procedure introduced by us in Ref. \cite{ACC2}, we construct, in the first part of the present letter, the Jordanian quantum Hopf algebra ${\cal U}_{\sf h}(sl(3))$ which has a remarkably simple coalgebraic structure and contains the
A Chakrabarti, Abdesselam B, Aghamohammadi A, Alishahiha M, Ananikian D N, B Abdesselam, Ballesteros A, Celeghini E, Demidov E E, Drinfeld V G, Drinfeld V G, Gerstenhaber M, Jimbo M, Kulish P P, Kulish P P, Kulish P P, Kulish P P, Lyakhovsky V D, Lyakhovsky V D, Lyakhovsky V D, Lyakhovsky V D, Lyakhovsky V D, Majid S, Ogievetsky O V, Ohn Ch, R Chakrabarti   +25 more
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A note on permutation twist defects in topological bilayer phases [PDF]

, 2013
We present a mathematical derivation of some of the most important physical quantities arising in topological bilayer systems with permutation twist defects as introduced by Barkeshli et al. in cond-mat/1208.4834.
Fuchs, Jürgen, Schweigert, Christoph
core   +1 more source

Limits of Gaudin algebras, quantization of bending flows, Jucys--Murphy elements and Gelfand--Tsetlin bases

, 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, A. Okounkov, A.S. Mishchenko, A.V. Bolsinov, Alexander Chervov, B. Enriquez, B. Feigin, B. Feigin, D. Talalaev, E. Mukhin, E.B. Vinberg, F. Musso, G. Falqui, G. Falqui, G. Falqui, Gregorio Falqui, H.M. Babujian, I. Scherbak, Leonid Rybnikov, M. Gaudin, M. Kapovich, M.R. Adams, P. Boalch, V. Toledano Laredo   +23 more
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"Spread" restricted Young diagrams from a 2D WZNW dynamical quantum group

, 2016
The Fock representation of the Q-operator algebra for the diagonal WZNW model on SU(n) at level k, where Q is the matrix of the 2D WZNW "zero modes" generating certain dynamical quantum group, is finite dimensional and has a natural basis labeled by su(n)
AYu Alekseev, B Bakalov, L Hadjiivanov, M Jimbo, P Francesco Di, S Doplicher   +5 more
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Algebraic Structures in Euclidean and Minkowskian Two-Dimensional Conformal Field Theory [PDF]

, 2008
We review how modular categories, and commutative and non-commutative Frobenius algebras arise in rational conformal field theory. For Euclidean CFT we use an approach based on sewing of surfaces, and in the Minkowskian case we describe CFT by a net of ...
Kong, Liang, Runkel, Ingo
core   +3 more sources

Geometry of Quantum Spheres

, 2005
Spectral triples on the q-deformed spheres of dimension two and three are reviewed.Comment: 23 pages ...
Brzezinski, Brzezinski, Chakraborty, Chamseddine, Chamseddine, Connes, Connes, Connes, Connes, Connes, Connes, Da¸browski, Da¸browski, Gracia-Bondía, Hajac, Landi, Ludwik Da¸browski, Podleś, Podleś, Woronowicz   +19 more
core   +2 more sources

On Correlation Functions of Vertex Operator Algebras Associated to Jordan Algebras [PDF]

, 2016
In this paper we study certain vertex operator algebras associated to Jordan algebras and compute the correlation function of basic ...
arxiv   +1 more source

Hopf algebras and finite tensor categories in conformal field theory [PDF]

, 2010
In conformal field theory the understanding of correlation functions can be divided into two distinct conceptual levels: The analytic properties of the correlators endow the representation categories of the underlying chiral symmetry algebras with ...
Fuchs, Jurgen, Schweigert, Christoph
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