Let G be a connected semisimple algebraic group over C, P a parabolic subgroup, g and p their Lie algebras. We prove a microlocal version of Gyoja's conjectures about a relation between the irreducibility of generalized Verma modules on g induced from p and the zeroes of b-functions of P-semiinvariants on G. Our method uses a duality for twisted D-modules on generalized flag manifolds.
Generalized Verma modules, b-functions of semi-invariants and duality for twisted D-modules on generalized flag manifolds
MARASTONI, CORRADO
2002
Abstract
Let G be a connected semisimple algebraic group over C, P a parabolic subgroup, g and p their Lie algebras. We prove a microlocal version of Gyoja's conjectures about a relation between the irreducibility of generalized Verma modules on g induced from p and the zeroes of b-functions of P-semiinvariants on G. Our method uses a duality for twisted D-modules on generalized flag manifolds.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
