10 pages, 8 figures, talk given at the conference "Noncommutative Geometry and Physics", Orsay April 2007Motivated by string theory on the orbifold ${\cal M}/G$ in presence of a Kalb-Ramond field strength $H$, we define the operators that lift the group action to the twisted sectors. These operators turn out to generate the quasi-quantum group $D_{\omega}[G]$, introduced in the context of conformal field theory by R. Dijkgraaf, V. Pasquier and P. Roche, with $\omega$ a 3-cocycle determined by a series of cohomological equations in a tricomplex combining de Rham, \u{C}ech and group cohomologies. We further illustrate some properties of the quasi-quantum group from a string theoretical point of view
In chapter 1 we recall briefly some aspects of Hopf algebras, quantum groups and their representatio...
We study group extensions Δ→Γ→Ω, where Γ acts on a C*-algebra A. Given a twisted covariant represent...
We review the recently introduced quasi-Hopf superalgebras and elliptic quantum supergroups. The for...
52 pages, 20 figuresWe present the general form of the operators that lift the group action on the t...
52 pages, 20 figuresWe present the general form of the operators that lift the group action on the t...
52 pages, 20 figuresWe present the general form of the operators that lift the group action on the t...
We present the general form of the operators that lift the group action on the twisted sectors of a ...
The operators that realize a discrete symmetry group on a physical system describing a particle in...
We show how to construct, starting from a quasi-Hopf algebra, or quasi-quantum group, invariants of ...
Symmetry concepts have always been of great importance for physical problems like explicit calculati...
In quantum theory, internal symmetries more general than groups are possible. We show that quasi-tri...
In quantum theory, internal symmetries more general than groups are possible. We show that quasi-tri...
In quantum theory, internal symmetries more general than groups are possible. We show that quasi-tri...
In chapter 1 we recall briefly some aspects of Hopf algebras, quantum groups and their representatio...
AbstractWe introduce the notions of Hopf quasigroup and Hopf coquasigroup H generalising the classic...
In chapter 1 we recall briefly some aspects of Hopf algebras, quantum groups and their representatio...
We study group extensions Δ→Γ→Ω, where Γ acts on a C*-algebra A. Given a twisted covariant represent...
We review the recently introduced quasi-Hopf superalgebras and elliptic quantum supergroups. The for...
52 pages, 20 figuresWe present the general form of the operators that lift the group action on the t...
52 pages, 20 figuresWe present the general form of the operators that lift the group action on the t...
52 pages, 20 figuresWe present the general form of the operators that lift the group action on the t...
We present the general form of the operators that lift the group action on the twisted sectors of a ...
The operators that realize a discrete symmetry group on a physical system describing a particle in...
We show how to construct, starting from a quasi-Hopf algebra, or quasi-quantum group, invariants of ...
Symmetry concepts have always been of great importance for physical problems like explicit calculati...
In quantum theory, internal symmetries more general than groups are possible. We show that quasi-tri...
In quantum theory, internal symmetries more general than groups are possible. We show that quasi-tri...
In quantum theory, internal symmetries more general than groups are possible. We show that quasi-tri...
In chapter 1 we recall briefly some aspects of Hopf algebras, quantum groups and their representatio...
AbstractWe introduce the notions of Hopf quasigroup and Hopf coquasigroup H generalising the classic...
In chapter 1 we recall briefly some aspects of Hopf algebras, quantum groups and their representatio...
We study group extensions Δ→Γ→Ω, where Γ acts on a C*-algebra A. Given a twisted covariant represent...
We review the recently introduced quasi-Hopf superalgebras and elliptic quantum supergroups. The for...