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Some properties of deformed q-numbers
(Brazilian Journal of Physics, 2009)
Twisted deformations vs. cocycle deformations for quantum groups
(World Scientific, 2020-12-12)
In this paper we study two deformation procedures for quantum groups: deformations by twists, that we call “comultiplication twisting”, as they modify the coalgebra structure, while keeping the algebra one — and deformations ...
kappa-DEFORMED POINCARE ALGEBRAS AND QUANTUM CLIFFORD-HOPF ALGEBRAS
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2010)
Some properties of deformed q-numbers
(Brazilian Journal of Physics, 2009)
Nonextensive statistical mechanics has been a source of investigation in mathematical structures such as
deformed algebraic structures. In this work, we present some consequences of q-operations on the construction
of ...
Deformaciones de álgebras de Lie nilpotentes filiformes
(2017-02)
Michele Vergne inició el estudio de la geometría de la variedad algebraica de todas las álgebras o corchetes de Lie nilpotentes mostrando el rol distintivo de las álgebras de Lie nilpotentes filiformes, aquéllas de nilíndice ...
Geometric and extensor algebras and the differential geometry of arbitrary manifolds
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2007)
Thermal field dynamics and bialgebras
(1997)
In thermal field dynamics, thermal states are obtained from restrictions of vacuum states on a doubled field algebra. It is shown that the suitably doubled Fock representations of the Heisenberg algebra do not need to be ...
Non-Abelian Sugawara construction and the q-deformed N=2 superconformal algebra
(Iop Publishing Ltd, 1996-10-07)
The construction of a q-deformed N = 2 superconformal algebra is proposed in terms of level-1 currents of the U-q(<(su)over cap>(2)) quantum affine Lie algebra and a single real Fermi field. In particular, it suggests the ...
Non-Abelian Sugawara construction and the q-deformed N=2 superconformal algebra
(Iop Publishing Ltd, 1996-10-07)
The construction of a q-deformed N = 2 superconformal algebra is proposed in terms of level-1 currents of the U-q(<(su)over cap>(2)) quantum affine Lie algebra and a single real Fermi field. In particular, it suggests the ...