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A comparison of Weyl group actions on Lagrangian cycles (CROSBI ID 78144)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Božičević, Mladen A comparison of Weyl group actions on Lagrangian cycles // Indagationes mathematicae, 9 (1998), 2; 173-181-x

Podaci o odgovornosti

Božičević, Mladen

engleski

A comparison of Weyl group actions on Lagrangian cycles

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.

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Podaci o izdanju

9 (2)

1998.

173-181-x

objavljeno

0019-3577

Povezanost rada

Matematika

Indeksiranost