Naslov
Constant term in Harish-Chandra's limit formula

Autori
Božičević, Mladen

Izvornik
Annales Mathematiques Blaise Pascal (1259-1734) 15 (2008), 2; 153-168

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
flag variety; equivariant sheaf; characteristic cycle; coadjoint orbit; Liouville measure

Sažetak
Let $G_\mathbb{;R};$ be a real form of a complex semisimple Lie group $G$. Recall that Rossmann defined a Weyl group action on Lagrangian cycles supported on the conormal bundle of the flag variety of $G$. We compute the signed average of the Weyl group action on the characteristic cycle of the standard sheaf associated to an open $G_\mathbb{;R};$-orbit on the flag variety. This result is applied to find the value of the constant term in Harish-Chandra’ s limit formula for the delta function at zero.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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