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Invariant differential operators

With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography....

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Detalles Bibliográficos
Autor principal: Dobrev, Vladimir K
Lenguaje:eng
Publicado: De Gruyter 2016
Materias:
Acceso en línea:https://dx.doi.org/10.1515/9783110427707
http://cds.cern.ch/record/2210975
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author Dobrev, Vladimir K
author_facet Dobrev, Vladimir K
author_sort Dobrev, Vladimir K
collection CERN
description With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2016
publisher De Gruyter
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spelling cern-22109752021-04-21T19:33:08Zdoi:10.1515/9783110427707http://cds.cern.ch/record/2210975engDobrev, Vladimir KInvariant differential operatorsMathematical Physics and MathematicsWith applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory.With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete explicitly presented examples. The invariant q-difference operators are introduced mainly using representations of quantum algebras on their dual matrix quantum groups as carrier spaces. This is the first book that covers the title matter applied to quantum groups.De Gruyteroai:cds.cern.ch:22109752016-2019
spellingShingle Mathematical Physics and Mathematics
Dobrev, Vladimir K
Invariant differential operators
title Invariant differential operators
title_full Invariant differential operators
title_fullStr Invariant differential operators
title_full_unstemmed Invariant differential operators
title_short Invariant differential operators
title_sort invariant differential operators
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1515/9783110427707
http://cds.cern.ch/record/2210975
work_keys_str_mv AT dobrevvladimirk invariantdifferentialoperators