A comparison theory for the structure of induced representations. II

DOI10.1007/BF01159158zbMath0562.17003MaRDI QIDQ2266763

Brian D. Boe, David H. Collingwood

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173604

zbMATH Keywords

Verma modulescomposition factorsgeneralized Verma modulescomplex simple Lie algebraKazhdan-Lusztig conjecturesminimal parabolic subalgebraVogan's algorithm

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (18)

A multiplicity one theorem for holomorphically induced representations ⋮ The conformal deformation detour complex for the obstruction tensor ⋮ Conformally invariant quantization -- towards the complete classification ⋮ Sums of Fourier coefficients of a Maass form for SL3(ℤ) twisted by exponential functions ⋮ Conformally invariant differential operators on Minkowski space and their curved analogues ⋮ Semiholonomic Verma modules ⋮ Equivariant differential operators on spinors in conformal geometry ⋮ Yang-Mills detour complexes and conformal geometry ⋮ Higher symmetries of the Laplacian via quantization ⋮ Conformally Invariant Operators, Differential Forms, Cohomology and a Generalisation of Q-Curvature ⋮ A comparison theory for the structure of induced representations. II ⋮ Invariant resolutions for several Fueter operators ⋮ Conformally equivariant quantization for spinning particles ⋮ Multiplicity free categories of highest weight representations ⋮ Complex Geometry and the Asymptotics of Harish-Chandra Modules for Real Reductive Lie Groups. I ⋮ UNFOLDED FORM OF CONFORMAL EQUATIONS IN M DIMENSIONS AND 𝔬(M + 2)-MODULES ⋮ New generalized Verma modules and multilinear intertwining differential operators ⋮ Complexes of invariant operators in several quaternionic variables

Cites Work

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• Characters, asymptotic and n-homology of Harish-Chandra modules
• The n-homology of Harish-Chandra modules: Generalizing a theorem of Kostant
• Intertwining operators between holomorphically induced modules
• Kostant's problem, Goldie rank and the Gelfand-Kirillov conjecture
• Representations of real reductive Lie groups
• Kazhdan-Lusztig conjecture and holonomic systems
• Primitive ideals and orbital integrals in complex classical groups
• Irreducible characters of semisimple Lie groups. I
• Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
• A comparison theory for the structure of induced representations. II
• Homomorphisms Between Generalized Verma Modules
• Basic covariant differential operators on hermitian symmetric spaces
• The Embeddings of the Discrete Series in the Principal Series for Semisimple Lie Groups of Real Rank One
• Gelfand-Kirillov Dimension for the Annihilators of Simple Quotients of Verma Modules

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