A Dirac operator D on quantized irreducible generalized flag manifolds is defined. This yields a Hilbert space realization of the covariant first-order differential calculi constructed by I. Heckenberger and S. Kolb. All differentials df=i[D,f] are bounded operators. In the simplest case of Podlesacute' quantum sphere one obtains the spectral triple found by L. Dabrowski and A. Sitarz
International audienceWe show that the principal part of the Dirac Hamiltonian in 3+1 dimensions eme...
We construct a family of self-adjoint operators D-N, N is an element of Z, which have compact resolv...
About ten years ago a general framework for covariant differential calculi on Hopf algebras was inve...
We prove that all quantum irreducible flag manifolds admit Kähler structures, as defined by Ó Buacha...
This paper is devoted to mathematical and physical properties of the Dirac operator and spectral geo...
summary:We introduce a method for construction of a covariant differential calculus over a Hopf alge...
We construct spectral triples on all Podles quantum spheres. These noncommutative geometries are equ...
We give a short new proof for the theorem that global sections of the sheaf of quantum differential ...
We modify the construction of the spectral triple over an algebra of holonomy loops by introducing a...
We formulate the notion of equivariance of an operator with respect to a covariant representation of...
AbstractThe dual coalgebra of Podleś' quantum sphere Oq(S2c) is determined explicitly. This result i...
For the q-deformation Gq, 0 < q < 1, of any simply connected simple compact Lie group G we construct...
The covariant differential calculus on the quantum Minkowski space is presented with the help of the...
The covariant differential calculus on the quantum Minkowski space is presented with the help of the...
AbstractIt is shown that quantized irreducible flag manifolds possess a canonical q-analogue of the ...
International audienceWe show that the principal part of the Dirac Hamiltonian in 3+1 dimensions eme...
We construct a family of self-adjoint operators D-N, N is an element of Z, which have compact resolv...
About ten years ago a general framework for covariant differential calculi on Hopf algebras was inve...
We prove that all quantum irreducible flag manifolds admit Kähler structures, as defined by Ó Buacha...
This paper is devoted to mathematical and physical properties of the Dirac operator and spectral geo...
summary:We introduce a method for construction of a covariant differential calculus over a Hopf alge...
We construct spectral triples on all Podles quantum spheres. These noncommutative geometries are equ...
We give a short new proof for the theorem that global sections of the sheaf of quantum differential ...
We modify the construction of the spectral triple over an algebra of holonomy loops by introducing a...
We formulate the notion of equivariance of an operator with respect to a covariant representation of...
AbstractThe dual coalgebra of Podleś' quantum sphere Oq(S2c) is determined explicitly. This result i...
For the q-deformation Gq, 0 < q < 1, of any simply connected simple compact Lie group G we construct...
The covariant differential calculus on the quantum Minkowski space is presented with the help of the...
The covariant differential calculus on the quantum Minkowski space is presented with the help of the...
AbstractIt is shown that quantized irreducible flag manifolds possess a canonical q-analogue of the ...
International audienceWe show that the principal part of the Dirac Hamiltonian in 3+1 dimensions eme...
We construct a family of self-adjoint operators D-N, N is an element of Z, which have compact resolv...
About ten years ago a general framework for covariant differential calculi on Hopf algebras was inve...
DOI
Add to ORKG