Naslov
A comparison of Weyl group actions on Lagrangian cycles

Autori
Božičević, Mladen

Izvornik
Indagationes mathematicae (0019-3577) 9 (1998), 2; 173-181

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

Ključne riječi
reductive algebraic group; Weyl group; flag variety; orbit; conormal variety; Grothendieck group; sheaf; intertwining; homology group; characteristic cycle map

Sažetak
Let G be a connected complex reductive algebraic group. Denote by W the Weyl group and by X the flag variety of G. Suppose q is closed real Lie subgroup of G having finitely many orbits on X and let T*QX be the conormal variety of Q-action. The Grothendieck group KQ(X) of constructible sheaves on X whose characteristic variety is contained in T*QX has a natural W-module structure, given by the action of intertwining operators. On the other hand, we consider the W-module structure on the top-dimensional Borel-Moore homology group H2n(T*QX, C) (with complex coefficients) defined by Lusztig. We show that the characteristic cycle map KQ(X)C ---- H2n(T*QX, C) is a homomorphism of W-modules.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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