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Pregled bibliografske jedinice broj: 461153

Computing the constant term in Harish-Chandra's limit formula


Božičević, Mladen
Computing the constant term in Harish-Chandra's limit formula // 4th Croatian Mathematical Congress CroMC2008 Abstracts / Scitovski, Rudolf (ur.).
Osijek: Odjel za Matematiku, 2008. (predavanje, međunarodna recenzija, sažetak, znanstveni)


Naslov
Computing the constant term in Harish-Chandra's limit formula

Autori
Božičević, Mladen

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
4th Croatian Mathematical Congress CroMC2008 Abstracts / Scitovski, Rudolf - Osijek : Odjel za Matematiku, 2008

Skup
4th Croatian Mathematical Congress CroMC2008

Mjesto i datum
Osijek, Hrvatska, 17-20.06.2008

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Semisimple Lie group; flag variety; equivariant sheaf; Liouville measure

Sažetak
Let G be a real form of a complex semisimple Lie group. We shall discuss some applications of the theory of characteristic cycles of equivariant sheaves, developed by Schmid and Vilonen, to the problems of harmonic analysis on the Lie algebra of G. The main focus will be on the classical formula of Harish-Chandra that relates the delta function supported at zero and Liouville measures on regular semisimple orbits. Such a formula is usually stated with unspecified constant term. We use the fixed point formula for the characteristic cycle of a standard sheaf associated to an open G-orbit on the flag variety to compute the constant in Harish-Chandra’s limit formula.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
160-0372794-2813 - Harmonijska analiza na realnoj poluprostoj Liejevoj algebri (Mladen Božičević, )

Ustanove
Geotehnički fakultet, Varaždin

Autor s matičnim brojem:
Mladen Božičević, (129992)