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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
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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., [SC: 0.00], Neuware, gewerbliches Angebot, 220x150x7 mm, [GW: 189g]

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

2009

ISBN: 9783639139129

[ED: Softcover], [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 theresulting representation to G2 remains irreducible, but don't compute the characters of these representations. Neither do they compute thelowest term of the expansion of such a character, which should be the Fouriertransform 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 fromthe regular semisimple orbits of sp(1R) to those of g2, via unnormalized maps used in CIT. We attempt toextend 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 g2.2009. 120 S.Versandfertig in 3-5 Tagen, [SC: 0.00]

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

2009, ISBN: 9783639139129

ID: 736051307

[ED: Softcover], [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 theresulting representation to G2 remains irreducible, but don't compute the characters of these representations. Neither do they compute thelowest term of the expansion of such a character, which should be the Fouriertransform 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 fromthe regular semisimple orbits of sp(1R) to those of g2, via unnormalized maps used in CIT. We attempt toextend 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 g2.2009. 120 S.Versandfertig in 3-5 Tagen

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

2009, ISBN: 3639139127

Gebundene Ausgabe, ID: 5285136

VIA THE CAUCHY HARISH-CHANDRA INTEGRAL - Buch, gebundene Ausgabe, 116 S., Beilagen: Paperback, Erschienen: 2009 VDM Verlag, [PU: VDM Verlag Dr. Müller, Saarbrücken]

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ORBITAL INTEGRAL CORRESPONDENCE FOR THE PAIR (G2, Sp(1;R))
Autor:

Olaya, Pedro

Titel:

ORBITAL INTEGRAL CORRESPONDENCE FOR THE PAIR (G2, Sp(1;R))

ISBN-Nummer:

3639139127

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 28.11.2016 20:15:29
ISBN/EAN: 3639139127

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

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