Results 21 to 30 of about 622,832 (86)

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 ${\mathcal{U}}_q(\mathfrak{s}\mathfrak{u}(1,1))$.
W. Groenevelt
semanticscholar   +1 more source

An approach to Quantum Conformal Algebra [PDF]

, 2020
We aim to explore if inside a quantum vertex algebras, we can find the right notion of a quantum conformal algebra.
arxiv   +1 more source

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

Atom graph, partial Boolean algebra and quantum contextuality [PDF]

Quantum Information Processing
Partial Boolean algebra underlies the quantum logic as an important tool for quantum contextuality. We propose the notion atom graphs to reveal the graph structure of partial Boolean algebra for finite dimensional quantum systems by proving that (i) the ...
Songyi Liu, Yongjun Wang, Baoshan Wang, Jian Yan, Heng Zhou   +4 more
semanticscholar   +1 more source

Instanton algebras and quantum 4-spheres [PDF]

, 2002
We study some generalized instanton algebras which are required to describe `instantonic complex rank 2 bundles'. The spaces on which the bundles are defined are not prescribed from the beginning but rather are obtained from some natural requirements on ...
Dabrowski, Ludwik, Landi, Giovanni
core   +2 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   +5 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

FRT-duals as Quantum Enveloping Algebras [PDF]

, 2002
The Hopf algebra generated by the l-functionals on the quantum double C_q[G] \bowtie C_q[G] is considered, where C_q[G] is the coordinate algebra of a standard quantum group and q is not a root of unity.
Carow-Watamura, De Concini, Faddeev, Hodges, Hodges, Jantzen, Joseph, Klimyk, Korogodski, Leduc, Majid, Montgomery, Podleś, Ulrich Krähmer   +13 more
core   +4 more sources

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, Zhikuan Zhao, P. Rebentrost, J. Fitzsimons   +3 more
semanticscholar   +1 more source

Groebner-Shirshov bases for pre-associative algebras [PDF]

Comm. Algebra 2017 45 (12), pp. 5283-5296, 2015
We develop Groebner---Shirshov bases technique for pre-associative algebras also known as dendriform (di-)algebras.
arxiv   +1 more source