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ORBITAL INTEGRAL CORRESPONDENCE FOR THE PAIR (G2,  Sp(1R)) - VIA THE CAUCHY HARISH-CHANDRA INTEGRAL - Olaya, Pedro
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Olaya, Pedro:
ORBITAL INTEGRAL CORRESPONDENCE FOR THE PAIR (G2, Sp(1R)) - VIA THE CAUCHY HARISH-CHANDRA INTEGRAL - Taschenbuch

2009, ISBN: 9783639139129

[ED: Taschenbuch / Paperback], [PU: VDM Verlag Dr. Müller], The groups Sp(1R), O(34) form a dual pair in the sense of Howe. This leads to a correspondence of irreducible unitary representations between the double connected cover of Sp(1R) and some irreducible unitary representations of O(34). By a property of double transitivity, Rallis & Schiffmann showed that the restriction of the resulting representation to G2 remains irreducible, but don't compute the characters of these representations. Neither do they compute the lowest term of the expansion of such a character, which should be the Fourier transform of an orbital integral corresponding to a nilpotent orbit. The goal of this work is to make progress in this direction. We showed that this theory can be extended to include the case of G2. Then we interpret the Jacobson-Rallis-Schiffmann theorem as a statement that there is an injection from the regular semisimple orbits of sp(1R) to those of g2, via unnormalized maps used in CIT. We attempt to extend this statement to nilpotent orbits and arrive at a conjecture, and compute the Cauchy Harish- Chandra integral for orbits in sp(1,R), and find they look like the Fourier transforms of orbital integrals of g2., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 120, [GW: 175g], Selbstabholung und Barzahlung, PayPal, offene Rechnung, Banküberweisung, Internationaler Versand

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ORBITAL INTEGRAL CORRESPONDENCE FOR THE PAIR (G2, Sp(1R)) - Pedro Olaya
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Pedro Olaya:
ORBITAL INTEGRAL CORRESPONDENCE FOR THE PAIR (G2, Sp(1R)) - Taschenbuch

ISBN: 9783639139129

[ED: Taschenbuch], [PU: VDM Verlag], Neuware - The groups Sp(1R), O(34) form a dual pair in the sense of Howe. This leads to a correspondence of irreducible unitary representations between the double connected cover of Sp(1R) and some irreducible unitary representations of O(34). By a property of double transitivity, Rallis & Schiffmann showed that the restriction of the resulting representation to G2 remains irreducible, but don't compute the characters of these representations. Neither do they compute the lowest term of the expansion of such a character, which should be the Fourier transform of an orbital integral corresponding to a nilpotent orbit. The goal of this work is to make progress in this direction. We showed that this theory can be extended to include the case of G2. Then we interpret the Jacobson-Rallis-Schiffmann theorem as a statement that there is an injection from the regular semisimple orbits of sp(1R) to those of g2, via unnormalized maps used in CIT. We attempt to extend this statement to nilpotent orbits and arrive at a conjecture, and compute the Cauchy Harish- Chandra integral for orbits in sp(1,R), and find they look like the Fourier transforms of orbital integrals of g2., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 220x150x7 mm, 116, [GW: 189g], PayPal, offene Rechnung, Banküberweisung, Internationaler Versand

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ORBITAL INTEGRAL CORRESPONDENCE FOR THE PAIR (G2,  Sp(1R)) - VIA THE CAUCHY HARISH-CHANDRA INTEGRAL
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ORBITAL INTEGRAL CORRESPONDENCE FOR THE PAIR (G2, Sp(1R)) - VIA THE CAUCHY HARISH-CHANDRA INTEGRAL - Taschenbuch

2009, ISBN: 9783639139129

[ED: Taschenbuch / Paperback], [PU: VDM Verlag Dr. Müller], The groups Sp(1R), O(34) form a dual pair in the sense of Howe. This leads to a correspondence of irreducible unitary representations between the double connected cover of Sp(1R) and some irreducible unitary representations of O(34). By a property of double transitivity, Rallis & Schiffmann showed that the restriction of the resulting representation to G2 remains irreducible, but don't compute the characters of these representations. Neither do they compute the lowest term of the expansion of such a character, which should be the Fourier transform of an orbital integral corresponding to a nilpotent orbit. The goal of this work is to make progress in this direction. We showed that this theory can be extended to include the case of G2. Then we interpret the Jacobson-Rallis-Schiffmann theorem as a statement that there is an injection from the regular semisimple orbits of sp(1R) to those of g2, via unnormalized maps used in CIT. We attempt to extend this statement to nilpotent orbits and arrive at a conjecture, and compute the Cauchy Harish- Chandra integral for orbits in sp(1,R), and find they look like the Fourier transforms of orbital integrals of g2., [SC: 0.00], Neuware, gewerbliches Angebot, [GW: 175g]

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ORBITAL INTEGRAL CORRESPONDENCE FOR THE PAIR (G2, Sp(1R)) - Pedro Olaya
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Pedro Olaya:
ORBITAL INTEGRAL CORRESPONDENCE FOR THE PAIR (G2, Sp(1R)) - Taschenbuch

ISBN: 9783639139129

[ED: Taschenbuch], [PU: VDM Verlag], Neuware - The groups Sp(1R), O(34) form a dual pair in the sense of Howe. This leads to a correspondence of irreducible unitary representations between the double connected cover of Sp(1R) and some irreducible unitary representations of O(34). By a property of double transitivity, Rallis & Schiffmann showed that the restriction of the resulting representation to G2 remains irreducible, but don't compute the characters of these representations. Neither do they compute the lowest term of the expansion of such a character, which should be the Fourier transform of an orbital integral corresponding to a nilpotent orbit. The goal of this work is to make progress in this direction. We showed that this theory can be extended to include the case of G2. Then we interpret the Jacobson-Rallis-Schiffmann theorem as a statement that there is an injection from the regular semisimple orbits of sp(1R) to those of g2, via unnormalized maps used in CIT. We attempt to extend this statement to nilpotent orbits and arrive at a conjecture, and compute the Cauchy Harish- Chandra integral for orbits in sp(1,R), and find they look like the Fourier transforms of orbital integrals of g2., [SC: 0.00], Neuware, gewerbliches Angebot, 220x150x7 mm, [GW: 189g]

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ORBITAL INTEGRAL CORRESPONDENCE FOR THE PAIR (G2, Sp(1;R)) VIA THE CAUCHY HARISH-CHANDRA INTEGRAL - Olaya, Pedro
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ORBITAL INTEGRAL CORRESPONDENCE FOR THE PAIR (G2, Sp(1;R)) VIA THE CAUCHY HARISH-CHANDRA INTEGRAL - neues Buch

2009, ISBN: 3639139127

ID: A6876853

Kartoniert / Broschiert, mit Schutzumschlag neu, [PU:VDM Verlag]

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Details zum Buch

Detailangaben zum Buch - ORBITAL INTEGRAL CORRESPONDENCE FOR THE PAIR (G2, Sp(1;R))


EAN (ISBN-13): 9783639139129
ISBN (ISBN-10): 3639139127
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2009
Herausgeber: VDM Verlag Dr. Müller

Buch in der Datenbank seit 27.07.2007 08:26:37
Buch zuletzt gefunden am 22.11.2017 11:19:22
ISBN/EAN: 9783639139129

ISBN - alternative Schreibweisen:
3-639-13912-7, 978-3-639-13912-9


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