Solutions of $D_{\alpha}$ = 0 from Homogeneous Invariant Functions

We prove that the existence of a homogeneous invariant of degree n for arepresentation of a semi-simple Lie group guarantees the existence ofnon-trivial solutions of D_{\alpha} = 0: these correspond to the maximum valueof the square of the invariant divided by the norm of the representation to then^...

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Detalles Bibliográficos
Autor principal: Buccella, F
Lenguaje:eng
Publicado: 2000
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/425373
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author Buccella, F
author_facet Buccella, F
author_sort Buccella, F
collection CERN
description We prove that the existence of a homogeneous invariant of degree n for arepresentation of a semi-simple Lie group guarantees the existence ofnon-trivial solutions of D_{\alpha} = 0: these correspond to the maximum valueof the square of the invariant divided by the norm of the representation to then^{th} power.
id cern-425373
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
record_format invenio
spelling cern-4253732019-09-30T06:29:59Zhttp://cds.cern.ch/record/425373engBuccella, FSolutions of $D_{\alpha}$ = 0 from Homogeneous Invariant FunctionsMathematical Physics and MathematicsWe prove that the existence of a homogeneous invariant of degree n for arepresentation of a semi-simple Lie group guarantees the existence ofnon-trivial solutions of D_{\alpha} = 0: these correspond to the maximum valueof the square of the invariant divided by the norm of the representation to then^{th} power.math-ph/0002002CERN-TH-2000-013oai:cds.cern.ch:4253732000-02-02
spellingShingle Mathematical Physics and Mathematics
Buccella, F
Solutions of $D_{\alpha}$ = 0 from Homogeneous Invariant Functions
title Solutions of $D_{\alpha}$ = 0 from Homogeneous Invariant Functions
title_full Solutions of $D_{\alpha}$ = 0 from Homogeneous Invariant Functions
title_fullStr Solutions of $D_{\alpha}$ = 0 from Homogeneous Invariant Functions
title_full_unstemmed Solutions of $D_{\alpha}$ = 0 from Homogeneous Invariant Functions
title_short Solutions of $D_{\alpha}$ = 0 from Homogeneous Invariant Functions
title_sort solutions of $d_{\alpha}$ = 0 from homogeneous invariant functions
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/425373
work_keys_str_mv AT buccellaf solutionsofdalpha0fromhomogeneousinvariantfunctions

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