Results 31 to 40 of about 22,579,506 (332)
Entanglement and quantum groups [PDF]
Journal of Mathematical Physics, 2009 We describe quantum mechanical entanglement in terms of compact quantum groups. We prove an analog of positivity of partial transpose criterion and formulate a Horodecki-type theorem.
Korbicz, J. K., Wehr, J., Lewenstein, M.
openaire +3 more sources
From quantum groups to Liouville and dilaton quantum gravity
Journal of High Energy Physics, 2022 We investigate the underlying quantum group symmetry of 2d Liouville and dilaton gravity models, both consolidating known results and extending them to the cases with N $$ \mathcal{N} $$ = 1 supersymmetry.
Yale Fan, Thomas G. Mertens
doaj +1 more source
From Quantum Automorphism of (Directed) Graphs to the Associated Multiplier Hopf Algebras
Mathematics, 2023 This is a noticeably short biography and introductory paper on multiplier Hopf algebras. It delves into questions regarding the significance of this abstract construction and the motivation behind its creation.
Farrokh Razavinia +1 more
doaj +1 more source
Unitary Easy Quantum Groups: the free case and the group case [PDF]
, 2015 Easy quantum groups have been studied intensively since the time they were introduced by Banica and Speicher in 2009. They arise as a subclass of ($C^*$-algebraic) compact matrix quantum groups in the sense of Woronowicz.
Pierre Tarrago, Moritz Weber
semanticscholar +1 more source
Integrating quantum groups over surfaces [PDF]
Journal of Topology, 2015 We apply the mechanism of factorization homology to construct and compute category‐valued two‐dimensional topological field theories associated to braided tensor categories, generalizing the (0,1,2)‐dimensional part of Crane–Yetter–Kauffman four ...
David Ben-Zvi +2 more
semanticscholar +1 more source
UNIVERSAL QUANTUM GROUPS [PDF]
International Journal of Mathematics, 1996 For each invertible m×m matrix Q a compact matrix quantum group Au(Q) is constructed. These quantum groups are shown to be universal in the sense that any compact matrix quantum group is a quantum subgroup of some of them. Their orthogonal version Ao(Q) is also constructed. Finally, we discuss related constructions in the literature.
Van Daele, Alfons, Wang, Shuzhou
openaire +1 more source
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
doaj +1 more source
Tetrahedron equation and generalized quantum groups [PDF]
, 2015 We construct 2 n ?> -families of solutions of the Yang–Baxter equation from n-products of three-dimensional R and L operators satisfying the tetrahedron equation.
A. Kuniba, M. Okado, S. Sergeev
semanticscholar +1 more source
Lacunary Fourier Series for Compact Quantum Groups [PDF]
, 2015 This paper is devoted to the study of Sidon sets, $${\Lambda(p)}$$Λ(p)-sets and some related notions for compact quantum groups. We establish several different characterizations of Sidon sets, and in particular prove that any Sidon set in a discrete ...
Si-Meng Wang
semanticscholar +1 more source
Graded twisting of categories and quantum groups by group actions [PDF]
, 2015 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 $A$
J. Bichon +2 more
semanticscholar +1 more source