Results 1 to 10 of about 5,625 (47)

Stokes posets and serpent nests [PDF]

Discrete Mathematics & Theoretical Computer Science, 2016
30 pages, 12 ...
Frédéric Chapoton
doaj   +1 more source

Classification of quantum groups and Belavin--Drinfeld cohomologies for orthogonal and symplectic Lie algebras [PDF]

, 2015
In this paper we continue to study Belavin-Drinfeld cohomology introduced in arXiv:1303.4046 [math.QA] and related to the classification of quantum groups whose quasi-classical limit is a given simple complex Lie algebra. Here we compute Belavin-Drinfeld
Alexander Stolin, Belavin A., Boris Kadets, Drinfeld V., Etingof P., Eugene Karolinsky, Iulia Pop   +6 more
core   +2 more sources

Twenty-five years of two-dimensional rational conformal field theory [PDF]

, 2009
In this article we try to give a condensed panoramic view of the development of two-dimensional rational conformal field theory in the last twenty-five years.Comment: A review for the 50th anniversary of the Journal of Mathematical Physics.
Axelrod S., Beauville A., Brylinski J. -L., Christoph Schweigert, di Francesco P., Dobrev V. K., Faltings G., Feigin B. L., Fredenhagen K., Freed D. S., Frenkel E., Frenkel I. B., Fröhlich J., Fuchs J., Gannon T., Gannon T., Goddard P., Höhn G., Ingo Runkel, Jürgen Fuchs, Kontsevich M. L., Mathieu O., Meinrenken E., Novikov S. P., Ocneanu A., Polyakov A. M., Ponzano G., Schweigert C., Segal G. B., Segal G. B., Smirnov S., Sorger Ch., Tsuchiya A., Ueno K., Vogel P., Witten E., Zamolodchikov A. B., Zamolodchikov A. B.   +37 more
core   +1 more source

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, Neshveyev, Sergey, Yamashita, Makoto   +2 more
core   +4 more sources

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, Kong, Liang, Runkel, Ingo   +2 more
core   +3 more sources

The Universal Askey-Wilson Algebra [PDF]

, 2011
In 1992 A. Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension $\Delta$ of AW, obtained from AW by reinterpreting certain parameters as central ...
Terwilliger, Paul
core   +3 more sources

Twisted traces of quantum intertwiners and quantum dynamical R-matrices corresponding to generalized Belavin-Drinfeld triples

, 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.
core   +1 more source

$\kappa$-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
core   +3 more sources

Quantum Isometry Group for Spectral Triples with Real Structure [PDF]

, 2010
Given a spectral triple of compact type with a real structure in the sense of [Dabrowski L., J. Geom. Phys. 56 (2006), 86-107] (which is a modification of Connes' original definition to accommodate examples coming from quantum group theory) and ...
Goswami, Debashish
core   +6 more sources

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
core   +3 more sources