Zobrazeno 1 - 10
of 154
pro vyhledávání: '"Wagner, Elmar"'
Autor:
Sierra, Arley, Wagner, Elmar
Closed quantum surfaces of any genus are defined as subalgebras of the Toeplitz algebra by mimicking the classical construction of identifying arcs on the boundary of the (quantum) unit disk. Isomorphism classes obtained from different arrangements o
Externí odkaz:
http://arxiv.org/abs/2306.05585
The quantum version of the Bernstein-Gelfand-Gelfand resolution is used to construct a Dolbeault-Dirac operator on the anti-holomorphic forms of the Heckenberger-Kolb calculus for the $B_2$-irreducible quantum flag manifold. The spectrum and the mult
Externí odkaz:
http://arxiv.org/abs/2109.09885
The purpose of this paper is to propose a definition of continuous frames of rank n for Krein spaces and to study their basic properties. Similarly to the Hilbert space case, continuous frames are characterized by the analysis, the pre-frame and the
Externí odkaz:
http://arxiv.org/abs/2103.12267
Autor:
Wagner, Elmar
The paper presents a detailed description of duality for braided algebras, coalgebras, bialgebras, Hopf algebras and their modules and comodules in the infinite setting. Assuming that the dual objects exist, it is shown how a given braiding induces c
Externí odkaz:
http://arxiv.org/abs/2008.09929
Autor:
García, Fredy Díaz, Wagner, Elmar
A Dirac operator is presented that will yield a 1+ summable regular even spectral triple for all noncommutative compact surfaces defined as subalgebras of the Toeplitz algebra. Connes' conditions for noncommutative spin geometries are analyzed and it
Externí odkaz:
http://arxiv.org/abs/2002.10624
Autor:
Kraehmer, Ulrich, Wagner, Elmar
The quantum disc is used to define a noncommutative analogue of a dense coordinate chart and of left-invariant vector fields on quantum SU(2). This yields two twisted Dirac operators for different twists that are related by a gauge transformation and
Externí odkaz:
http://arxiv.org/abs/1912.08155
Autor:
Wagner, Elmar
Publikováno v:
J. Phys.: Conf. Ser. 670 (2016) 012053
Hilbert space representations of quantum SU(2) by multiplication operators on a local chart are constructed, where the local chart is given by tensor products of square integrable functions on a quantum disc and on the classical unit circle. The acti
Externí odkaz:
http://arxiv.org/abs/1802.06146
Autor:
Cohen, Ismael, Wagner, Elmar
Publikováno v:
Banach Center Publ. 98 (2012), 55-66
S. L. Woronowicz's theory of introducing C*-algebras generated by unbounded elements is applied to q-normal operators satisfying the defining relation of the quantum complex plane. The unique non-degenerate C*-algebra of bounded operators generated b
Externí odkaz:
http://arxiv.org/abs/1802.06142
Autor:
García, Fredy Díaz, Wagner, Elmar
We construct a 1+ summable regular even spectral triple for a noncommutative torus defined by a C*-subalgebra of the Toeplitz algebra.
Comment: to appear in Trends in Mathematics, Birkh\"auser
Comment: to appear in Trends in Mathematics, Birkh\"auser
Externí odkaz:
http://arxiv.org/abs/1802.06124
Autor:
Cohen, Ismael, Wagner, Elmar
Publikováno v:
J. Phys.: Conf. Ser 563 (2014) 012034
The well-behaved representations of the coordinate algebra of a 2-dimensional quantum complex plane are classified and a C*-algebra is defined which can be viewed as the algebra of continuous functions on the 2-dimensional quantum complex plane vanis
Externí odkaz:
http://arxiv.org/abs/1802.06144