A comparison of Weyl group actions on Lagrangian cycles (CROSBI ID 78144)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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.
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano