The Experts below are selected from a list of 324 Experts worldwide ranked by ideXlab platform
Javad Bagherian - One of the best experts on this subject based on the ideXlab platform.
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Schurity of the Wedge Product of association schemes and generalized wreath Product of permutation groups
Discrete Mathematics, 2020Co-Authors: Javad BagherianAbstract:Abstract The generalized wreath Product of permutation groups was introduced by Evdokimov and Ponomarenko in order to study the schurity problem for S-rings over cyclic groups. In this paper we construct the generalized wreath Product of permutation groups by a method entirely different from Evdokimov and Ponomarenko’s construction. Then we give a necessary and sufficient condition for the Wedge Product of schurian association schemes coming from the generalized wreath Product of permutation groups.
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On the association schemes with the thin radical series
Journal of Algebra and Its Applications, 2019Co-Authors: Javad BagherianAbstract:In this paper, we first show that the Wedge Product of a thin association scheme and a schurian association scheme is schurian. Then as an application of this result, we investigate the schurity pr...
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On the association schemes with the thin radical series
Journal of Algebra and Its Applications, 2019Co-Authors: Javad BagherianAbstract:In this paper, we first show that the Wedge Product of a thin association scheme and a schurian association scheme is schurian. Then as an application of this result, we investigate the schurity problem for the association schemes having the thin radical series. We show that these association schemes are schurian under some conditions on the successive quotients of their thin radical series.
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Camina Triples and the Wedge Product of Association Schemes
Bulletin of the Iranian Mathematical Society, 2019Co-Authors: Javad BagherianAbstract:In this paper, we first show that the group scheme of a Camina triple has the Wedge Product structure of association schemes. Then as a main result, we give a characterization of Camina triples in terms of their irreducible characters.
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Irreducible representations of Wedge Products of table algebras and applications to association schemes
arXiv: Representation Theory, 2015Co-Authors: Javad BagherianAbstract:In this paper we first determine all irreducible representations of a Wedge Product of two table algebras in terms of the irreducible representations of two factors involved. Then we give some necessary and sufficient conditions for a table algebra to be a Wedge Product of two table algebras. Some applications to association schemes are also given.
D Vassiliev - One of the best experts on this subject based on the ideXlab platform.
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Weyl's Lagrangian in teleparallel form
Journal of Mathematical Physics, 2009Co-Authors: James Burnett, D VassilievAbstract:The main result of the paper is a new representation for the Weyl Lagrangian (massless Dirac Lagrangian). As the dynamical variable we use the coframe, i.e. an orthonormal tetrad of covector fields. We write down a simple Lagrangian - Wedge Product of axial torsion with a lightlike element of the coframe - and show that this gives the Weyl Lagrangian up to a nonlinear change of dynamical variable. The advantage of our approach is that it does not require the use of spinors, Pauli matrices or covariant differentiation. The only geometric concepts we use are those of a metric, differential form, Wedge Product and exterior derivative. Our result assigns a variational meaning to the tetrad representation of the Weyl equation suggested by J. B. Griffiths and R. A. Newing.
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a teleparallel representation of the weyl lagrangian
Proceedings of the MG11 Meeting on General Relativity, 2008Co-Authors: D VassilievAbstract:The main result of the paper is a new representation of the Weyl Lagrangian (massless Dirac Lagrangian). As the dynamical variable we use the coframe, i.e. an orthonormal tetrad of covector fields. We write down a simple Lagrangian - Wedge Product of axial torsion with a lightlike element of the coframe - and show that variation of the resulting action with respect to the coframe produces the Weyl equation. The advantage of our approach is that it does not require the use of spinors, Pauli matrices or covariant differentiation. The only geometric concepts we use are those of a metric, differential form, Wedge Product and exterior derivative. Our result assigns a variational meaning to the tetrad representation of the Weyl equation suggested by J. B. Griffiths and R. A. Newing. © 2008 World Scientific Publishing Co. Pte. Ltd.
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A teleparallel representation of the weyl lagrangian
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2007Co-Authors: D VassilievAbstract:The main result of the paper is a new representation of the Weyl Lagrangian (massless Dirac Lagrangian). As the dynamical variable, we use the coframe, i.e. an orthonormal tetrad of covector fields. We write down a simple Lagrangian-Wedge Product of axial torsion with a lightlike element of the coframe- and show that variation of the resulting action with respect to the coframe produces the Weyl equation. The advantage of our approach is that it does not require the use of spinors, Pauli matrices or covariant differentiation. The only geometric concepts we use are those of a metric, differential form, Wedge Product and exterior derivative. Our result assigns a variational meaning to the tetrad representation of the Weyl equation suggested by J. B. Griffiths and R. A. Newing.
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Teleparallel model for the neutrino
PHYS REV D, 2007Co-Authors: D VassilievAbstract:The main result of the paper is a new representation for the Weyl Lagrangian (massless Dirac Lagrangian). As the dynamical variable we use the coframe, i.e. an orthonormal tetrad of covector fields. We write down a simple Lagrangian-Wedge Product of axial torsion with a lightlike element of the coframe-and show that variation of the resulting action with respect to the coframe produces the Weyl equation. The advantage of our approach is that it does not require the use of spinors, Pauli matrices, or covariant differentiation. The only geometric concepts we use are those of a metric, differential form, Wedge Product, and exterior derivative. Our result assigns a variational meaning to the tetrad representation of the Weyl equation suggested by Griffiths and Newing.
Gabriel Navarro - One of the best experts on this subject based on the ideXlab platform.
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Valued Gabriel quiver of a Wedge Product and semiprime coalgebras
Frontiers of Mathematics in China, 2013Co-Authors: Gabriel NavarroAbstract:We describe the valued Gabriel quiver of a Wedge Product of coalgebras and study the category of comodules of a semiprime coalgebra. In particular, we prove that any monomial semiprime k-tame fc-tame coalgebra is string. We also prove a version of Eisenbud-Griffith theorem for coalgebras, namely, any hereditary semiprime strictly quasi-finite coalgebra is serial.
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The valued Gabriel quiver of a Wedge Product and semiprime coalgebras
arXiv: Representation Theory, 2010Co-Authors: Gabriel NavarroAbstract:We make a first approach to the representation theory of the Wedge Product of coalgebras by means of the description of its valued Gabriel quiver. Then we define semiprime coalgebras and study its category of comodules by the use of localization techniques. In particular, we prove that, whether its Gabriel quiver is locally finite, any monomial semiprime fc-tame coalgebra is string. We also prove a weaker version of Eisenbud-Griffith theorem, namely, any hereditary semiprime strictly quasi-finite coalgebra is serial.
Prasanta K. Panigrahi - One of the best experts on this subject based on the ideXlab platform.
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Generalized concurrence and partial transpose for pure continuous variable systems of arbitrary degrees of freedom using Lagrange's identity and Wedge Product
arXiv: Quantum Physics, 2017Co-Authors: Vineeth S. Bhaskara, Prasanta K. PanigrahiAbstract:Concurrence, introduced by Hill and Wootters [Phys. Rev. Lett. 78, 5022 (1997)], provides an important measure of entanglement for a general pair of qubits that is strictly positive for entangled states and vanishing for all separable states. We present an extension of concurrence to general continuous variable pure states of multiple degrees of freedom by generalizing the Lagrange's identity and Wedge Product framework proposed by Bhaskara et al. [Quantum Inf. Process. 16, 118 (2017)] for pure discrete variable systems in arbitrary dimensions. A family of faithful entanglement measures, of which concurrence is a member, is constructed that admit necessary and sufficient conditions for separability across arbitrary bipartitions, which is shown as a particular invariance with connections to the partial transpose, uncovering an inherent geometry of entanglement. This framework may be useful for the further extensions to mixed states and entanglement in quantum field theories.
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Generalized concurrence measure for faithful quantification of multiparticle pure state entanglement using Lagrange's identity and Wedge Product
Quantum Information Processing, 2017Co-Authors: Vineeth S. Bhaskara, Prasanta K. PanigrahiAbstract:Concurrence, introduced by Hill and Wootters (Phys Rev Lett 78:5022, 1997), provides an important measure of entanglement for a general pair of qubits that is faithful: strictly positive for entangled states and vanishing for all separable states. Such a measure captures the entire content of entanglement, providing necessary and sufficient conditions for separability. We present an extension of concurrence to multiparticle pure states in arbitrary dimensions by a new framework using the Lagrange's identity and Wedge Product representation of separability conditions, which coincides with the "I-concurrence" of Rungta et al. (Phys Rev A 64:042315, 2001) who proposed by extending Wootters's spin-flip operator to a so-called universal inverter superoperator. Our framework exposes an inherent geometry of entanglement and may be useful for the further extensions to mixed and continuous variable states.
Vineeth S. Bhaskara - One of the best experts on this subject based on the ideXlab platform.
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Generalized concurrence and partial transpose for pure continuous variable systems of arbitrary degrees of freedom using Lagrange's identity and Wedge Product
arXiv: Quantum Physics, 2017Co-Authors: Vineeth S. Bhaskara, Prasanta K. PanigrahiAbstract:Concurrence, introduced by Hill and Wootters [Phys. Rev. Lett. 78, 5022 (1997)], provides an important measure of entanglement for a general pair of qubits that is strictly positive for entangled states and vanishing for all separable states. We present an extension of concurrence to general continuous variable pure states of multiple degrees of freedom by generalizing the Lagrange's identity and Wedge Product framework proposed by Bhaskara et al. [Quantum Inf. Process. 16, 118 (2017)] for pure discrete variable systems in arbitrary dimensions. A family of faithful entanglement measures, of which concurrence is a member, is constructed that admit necessary and sufficient conditions for separability across arbitrary bipartitions, which is shown as a particular invariance with connections to the partial transpose, uncovering an inherent geometry of entanglement. This framework may be useful for the further extensions to mixed states and entanglement in quantum field theories.
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Generalized concurrence measure for faithful quantification of multiparticle pure state entanglement using Lagrange's identity and Wedge Product
Quantum Information Processing, 2017Co-Authors: Vineeth S. Bhaskara, Prasanta K. PanigrahiAbstract:Concurrence, introduced by Hill and Wootters (Phys Rev Lett 78:5022, 1997), provides an important measure of entanglement for a general pair of qubits that is faithful: strictly positive for entangled states and vanishing for all separable states. Such a measure captures the entire content of entanglement, providing necessary and sufficient conditions for separability. We present an extension of concurrence to multiparticle pure states in arbitrary dimensions by a new framework using the Lagrange's identity and Wedge Product representation of separability conditions, which coincides with the "I-concurrence" of Rungta et al. (Phys Rev A 64:042315, 2001) who proposed by extending Wootters's spin-flip operator to a so-called universal inverter superoperator. Our framework exposes an inherent geometry of entanglement and may be useful for the further extensions to mixed and continuous variable states.
