Pregled bibliografske jedinice broj: 461153
Computing the constant term in Harish-Chandra's limit formula
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)
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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, 17.06.2008. - 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
Projekti:
160-0372794-2813 - Harmonijska analiza na realnoj poluprostoj Liejevoj algebri (Božičević, Mladen, MZOS ) ( CroRIS)
Ustanove:
Geotehnički fakultet, Varaždin
Profili:
Mladen Božičević
(autor)
