Multiplicity free categories of highest weight representations
DOI10.1080/00927879008823953zbMath0757.17005OpenAlexW2143712920MaRDI QIDQ4712924
Brian D. Boe, David H. Collingwood
Publication date: 25 June 1992
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879008823953
complex simple Lie algebraHermitian symmetric pairreal rank onemultiplicity free categoriesrelative Verma modulesunique Loewy filtration
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homological methods in Lie (super)algebras (17B55) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
Related Items (9)
Cites Work
- Classification of irreducible tempered representations of semisimple groups. I
- A multiplicity one theorem for holomorphically induced representations
- A comparison theory for the structure of induced representations
- The Kazhdan-Lusztig conjecture for generalized Verma modules
- On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
- Kazhdan-Lusztig conjecture and holonomic systems
- Classical Bruhat orders and lexicographic shellability
- Representations of Coxeter groups and Hecke algebras
- Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie- Algebra
- Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
- Tensor products of finite and infinite dimensional representations of semisimple Lie groups
- Irreducible characters of semisimple Lie groups. I
- Graded characters of induced representations for real reductive Lie groups. I
- A comparison theory for the structure of induced representations. II
- Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
- Filtrations on generalized Verma modules for Hermitian symmetric pairs.
This page was built for publication: Multiplicity free categories of highest weight representations