Lie Algebra Cohomology and Holomorphic Continuation of Generalized Jacquet Integrals

摘要: Publisher Summary This chapter presents two types of theorems. The first is the generalizations vanishing theorems Kostant and Lynch. second holomorphic continuation certain integrals. proofs two, seemingly unrelated results, have in common use operators, Qj that are noncommutative analogues standard Euler operator on space polynomials several variables. results examples illustrated rest algebraic properties operators. It explains global structure nondegenerate functionals preparation for corresponding generalized Jacquet