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Pregled bibliografske jedinice broj: 406296

Unramified Unitary Duals for Split Classical p-adic Groups ; The topology and Isolated Representations


Muic, Goran; Tadic, Marko
Unramified Unitary Duals for Split Classical p-adic Groups ; The topology and Isolated Representations // On Certain L-Functions / Arthur, James ; Cogdell , James ; Gelbart, Steve ; Goldberg, David ; Ramakrishnan, Dinakar ; Yu, Jiu-Kang (ur.).
Providence (RI): American Mathematical Society (AMS) ; Clay Mathematics Institute, 2011. str. 375-438


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Naslov
Unramified Unitary Duals for Split Classical p-adic Groups ; The topology and Isolated Representations

Autori
Muic, Goran ; Tadic, Marko

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
On Certain L-Functions

Urednik/ci
Arthur, James ; Cogdell , James ; Gelbart, Steve ; Goldberg, David ; Ramakrishnan, Dinakar ; Yu, Jiu-Kang

Izdavač
American Mathematical Society (AMS) ; Clay Mathematics Institute

Grad
Providence (RI)

Godina
2011

Raspon stranica
375-438

ISBN
0-8218-5204-3

Ključne riječi
unramified unitary duals, classical groups, p-adic fields

Sažetak
In the case of the split classical groups Sp(2n, F), SO(2n+1, F) and Ort(2n, F), the solution to the problems of finding an explicit classification of unramified unitary duals (with explicit parameters and with Satake parameters easily computed from them) is given. Also an effective way (an algorithm) for testing unitarity of an arbitrary irreducible unramified representation by its Satake parameter is given. Further, an explicit description of isolated points, and an algorithm for getting limit points for a given sequence in the dual is presented in the paper.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
037-0372794-2804 - Unitarne reprezentacije klasicnih grupa i automorfne forme (Tadić, Marko, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Marko Tadić (autor)

Avatar Url Goran Muić (autor)


Citiraj ovu publikaciju:

Muic, Goran; Tadic, Marko
Unramified Unitary Duals for Split Classical p-adic Groups ; The topology and Isolated Representations // On Certain L-Functions / Arthur, James ; Cogdell , James ; Gelbart, Steve ; Goldberg, David ; Ramakrishnan, Dinakar ; Yu, Jiu-Kang (ur.).
Providence (RI): American Mathematical Society (AMS) ; Clay Mathematics Institute, 2011. str. 375-438
Muic, G. & Tadic, M. (2011) Unramified Unitary Duals for Split Classical p-adic Groups ; The topology and Isolated Representations. U: Arthur, J., Cogdell , J., Gelbart, S., Goldberg, D., Ramakrishnan, D. & Yu, J. (ur.) On Certain L-Functions. Providence (RI), American Mathematical Society (AMS) ; Clay Mathematics Institute, str. 375-438.
@inbook{inbook, author = {Muic, Goran and Tadic, Marko}, year = {2011}, pages = {375-438}, keywords = {unramified unitary duals, classical groups, p-adic fields}, isbn = {0-8218-5204-3}, title = {Unramified Unitary Duals for Split Classical p-adic Groups ; The topology and Isolated Representations}, keyword = {unramified unitary duals, classical groups, p-adic fields}, publisher = {American Mathematical Society (AMS) ; Clay Mathematics Institute}, publisherplace = {Providence (RI)} }
@inbook{inbook, author = {Muic, Goran and Tadic, Marko}, year = {2011}, pages = {375-438}, keywords = {unramified unitary duals, classical groups, p-adic fields}, isbn = {0-8218-5204-3}, title = {Unramified Unitary Duals for Split Classical p-adic Groups ; The topology and Isolated Representations}, keyword = {unramified unitary duals, classical groups, p-adic fields}, publisher = {American Mathematical Society (AMS) ; Clay Mathematics Institute}, publisherplace = {Providence (RI)} }




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