The exceptional Lie algebra E7(25): multiplets and invariant differential operators
Identifieur interne : 000510 ( Main/Merge ); précédent : 000509; suivant : 000511The exceptional Lie algebra E7(25): multiplets and invariant differential operators
Auteurs : V K Dobrev [Bulgarie]Source :
- Journal of Physics A: Mathematical and Theoretical [ 1751-8113 ] ; 2009.
English descriptors
- KwdEn :
- Algebra, Bruhat, Bruhat decomposition, Conformal, Conformal algebras, Conformal weight, Differential operator, Differential operators, Discrete series, Discrete series representations, Dobrev, Harmonic analysis, High energy phys, Ictp trieste preprint, Irreducible, Irreducible representations, Iwasawa decomposition, Lett, Main type, Math, Maximal, Minkowski, Minkowski spacetime, Module, Multiplet, Multiplets, Negative parameters, Parabolic, Petkova, Phys, Positive roots, Present paper, Root system, Semisimple, Semisimple groups, Simple roots, Spacetime, Subalgebra, Subgroup, Theor, Verma, Weight representations.
- Teeft :
- Algebra, Bruhat, Bruhat decomposition, Conformal, Conformal algebras, Conformal weight, Differential operator, Differential operators, Discrete series, Discrete series representations, Dobrev, Harmonic analysis, High energy phys, Ictp trieste preprint, Irreducible, Irreducible representations, Iwasawa decomposition, Lett, Main type, Math, Maximal, Minkowski, Minkowski spacetime, Module, Multiplet, Multiplets, Negative parameters, Parabolic, Petkova, Phys, Positive roots, Present paper, Root system, Semisimple, Semisimple groups, Simple roots, Spacetime, Subalgebra, Subgroup, Theor, Verma, Weight representations.
Abstract
In the present paper, we continue the project of systematic construction of invariant differential operators on the example of the non-compact exceptional algebra E7(25). Our choice of this particular algebra is motivated by the fact that it belongs to a narrow class of algebras, which we call conformal Lie algebras, which have very similar properties to the conformal algebras of n-dimensional Minkowski spacetime. This class of algebras is identified and summarized in a table. Another motivation is related to the AdS/CFT correspondence. We give the multiplets of indecomposable elementary representations, including the necessary data for all relevant invariant differential operators.
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DOI: 10.1088/1751-8113/42/28/285203
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Phys. A: Math. Theor.</title><idno type="ISSN">1751-8113</idno><imprint><publisher>IOP Publishing</publisher><date type="published" when="2009">2009</date><biblScope unit="volume">42</biblScope><biblScope unit="issue">28</biblScope><biblScope unit="page" from="1">1</biblScope><biblScope unit="page" to="16">16</biblScope><biblScope unit="production">Printed in the UK</biblScope></imprint><idno type="ISSN">1751-8113</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">1751-8113</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Algebra</term><term>Bruhat</term><term>Bruhat decomposition</term><term>Conformal</term><term>Conformal algebras</term><term>Conformal weight</term><term>Differential operator</term><term>Differential operators</term><term>Discrete series</term><term>Discrete series representations</term><term>Dobrev</term><term>Harmonic analysis</term><term>High energy phys</term><term>Ictp trieste preprint</term><term>Irreducible</term><term>Irreducible representations</term><term>Iwasawa decomposition</term><term>Lett</term><term>Main type</term><term>Math</term><term>Maximal</term><term>Minkowski</term><term>Minkowski spacetime</term><term>Module</term><term>Multiplet</term><term>Multiplets</term><term>Negative parameters</term><term>Parabolic</term><term>Petkova</term><term>Phys</term><term>Positive roots</term><term>Present paper</term><term>Root system</term><term>Semisimple</term><term>Semisimple groups</term><term>Simple roots</term><term>Spacetime</term><term>Subalgebra</term><term>Subgroup</term><term>Theor</term><term>Verma</term><term>Weight representations</term></keywords><keywords scheme="Teeft" xml:lang="en"><term>Algebra</term><term>Bruhat</term><term>Bruhat decomposition</term><term>Conformal</term><term>Conformal algebras</term><term>Conformal weight</term><term>Differential operator</term><term>Differential operators</term><term>Discrete series</term><term>Discrete series representations</term><term>Dobrev</term><term>Harmonic analysis</term><term>High energy phys</term><term>Ictp trieste preprint</term><term>Irreducible</term><term>Irreducible representations</term><term>Iwasawa decomposition</term><term>Lett</term><term>Main type</term><term>Math</term><term>Maximal</term><term>Minkowski</term><term>Minkowski spacetime</term><term>Module</term><term>Multiplet</term><term>Multiplets</term><term>Negative parameters</term><term>Parabolic</term><term>Petkova</term><term>Phys</term><term>Positive roots</term><term>Present paper</term><term>Root system</term><term>Semisimple</term><term>Semisimple groups</term><term>Simple roots</term><term>Spacetime</term><term>Subalgebra</term><term>Subgroup</term><term>Theor</term><term>Verma</term><term>Weight representations</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract">In the present paper, we continue the project of systematic construction of invariant differential operators on the example of the non-compact exceptional algebra E7(25). Our choice of this particular algebra is motivated by the fact that it belongs to a narrow class of algebras, which we call conformal Lie algebras, which have very similar properties to the conformal algebras of n-dimensional Minkowski spacetime. This class of algebras is identified and summarized in a table. Another motivation is related to the AdS/CFT correspondence. We give the multiplets of indecomposable elementary representations, including the necessary data for all relevant invariant differential operators.</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
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