Results 41 to 50 of about 1,414,924 (189)

Quantum metric spaces of quantum maps

open access: yesUniversal Journal of Mathematics and Applications, 2018
We show that any quantum family of quantum maps from a noncommutative space to a compact quantum metric space has a canonical quantum pseudo-metric structure.
Maysam Maysami Sadr
doaj   +1 more source

Generalized quantum phase spaces for the κ-deformed extended Snyder model

open access: yesPhysics Letters B, 2023
We describe, in an algebraic way, the κ-deformed extended Snyder models, that depend on three parameters β,κ and λ, which in a suitable algebra basis are described by the de Sitter algebras o(1,N).
Jerzy Lukierski   +3 more
doaj   +1 more source

The composition algebra of a cyclic quiver [PDF]

open access: yes, 1993
Ringel CM. The composition algebra of a cyclic quiver. Proceedings of the London Mathematical Society : Ser. 3.
Ringel, Claus Michael
core   +1 more source

Canonical Commutation Relation Derived from Witt Algebra

open access: yesMathematics
From an arbitrary definition of operators inspired by oscillators of Virasoro, an algebra is derived. It fits the structure of Virasoro algebra with null central charge or Witt algebra. The resulting formalism has yielded commutators with a dependence on
Huber Nieto-Chaupis
doaj   +1 more source

Inductive constructions for Lie bialgebras and Hopf algebras [PDF]

open access: yes, 2006
PhDIn recent years, two generalisations of the theory of Lie algebras have become prominent, namely the "semi-classical" theory of Lie bialgebras and the "quantum" theory of Bopf algebras, including the quantized enveloping algebras.
Grabowski, Jan E.
core   +2 more sources

Quantum Heisenberg - Weyl algebras [PDF]

open access: yesJournal of Physics A: Mathematical and General, 1997
8 pages ...
Ballesteros, Angel   +2 more
openaire   +3 more sources

BICROSSPRODUCTS OF ALGEBRAIC QUANTUM GROUPS [PDF]

open access: yesInternational Journal of Mathematics, 2013
Let A and B be two algebraic quantum groups. Assume that B is a right A-module algebra and that A is a left B-comodule coalgebra. If the action and coaction are matched, it is possible to define a coproduct Δ# on the smash product A#B making the pair (A#B, Δ#) into an algebraic quantum group.
Delvaux, L., Van Daele, A., Wang, S. H.
openaire   +2 more sources

Lie 2-algebra models [PDF]

open access: yes, 2014
In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases.
Saemann, Christian; id_orcid   +3 more
core   +1 more source

κ-deformed BMS symmetry

open access: yesPhysics Letters B, 2019
We present the quantum κ-deformation of BMS symmetry, by generalizing the lightlike κ-Poincaré Hopf algebra. On the technical level our analysis relies on the fact that the lightlike κ-deformation of Poincaré algebra is given by a twist and the lightlike
Andrzej Borowiec   +3 more
doaj   +1 more source

Representations of quantum bicrossproduct algebras [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2002
We present a method to construct induced representations of quantum algebras having the structure of bicrossproduct. We apply this procedure to some quantum kinematical algebras in (1+1)--dimensions with this kind of structure: null-plane quantum Poincare algebra, non-standard quantum Galilei algebra and quantum kappa Galilei algebra.
Arratia, Oscar, del Olmo, Mariano A.
openaire   +3 more sources

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