The socle filtration of a Verma module

Keywords

Filtration (mathematics), Mathematics, Socle, Verma module, Medicine

References

• Finite group algebras and their modulesPeter Landrock — 1983
• Graded characters of induced representations for real reductive Lie groups ILuis Casian — 1989
• On the Kazhdan-Lusztig conjecturesVinay V. Deodhar — 1982
• Representations of Coxeter groups and Hecke algebrasDavid Kazhdan, G. Lusztig — 1979
• Irreducible characters of semisimple Lie groups II. The Kazhdan-Lusztig conjecturesDavid A. Vogan — 1979
• The Kazhdan-Lusztig conjecture for generalized Verma modulesLuis Casian, David H. Collingwood — 1987
• Irreducible characters of semisimple Lie groups IDavid A. Vogan — 1979
• Kazhdan-Lusztig conjecture and holonomic systemsJean-Luc Brylinski, Masaki Kashiwara — 1981
• Goldie rank in the enveloping algebra of a semisimple Lie algebra, IAnjali Joseph — 1980
• Characters of reductive groups over a finite fieldG. Lusztig — 1984
• Analyse et topologie sur les espaces singuliersA. Beilinson, Joseph Bernstein, P. Deligne — 1982

Cited by

• A pairing in homology and the category of linear tilting complexes for a quasi-hereditary algebraVolodymyr Mazorchuk, Serge Ovsienko — 2004
• Homomorphisms and Extensions of Principal Series RepresentationsCatharina Stroppel — 2003
• Graded cellularity and the Monotonicity ConjectureDavid Plaza — 2014
• Koszul Duality Patterns in Representation TheoryAlexander Beilinson, Victor Ginzburg, Wolfgang Soergel — 1996
• Construction of arbitrary Kazhdan-Lusztig polynomials in symmetric groupsPatrick Polo — 1999
• Loewy structure of G_1T-Verma modules of singular highest weightsNoriyuki Abe, Masaharu Kaneda — 2015
• A pairing in homology and the category of linear complexes of tilting modules for a quasi-hereditary algebraVolodymyr Mazorchuk, Serge Ovsienko — 2004
• Module extensions over classical Lie superalgebrasEdward S. Letzter — 1999
• BGG algebras and the BGG reciprocity principleRonald S. Irving — 1990
• Construction de polynômes de Kazhdan-Lusztig arbitrairesPatrick Polo — 1999
• Graded characters of induced representations for real reductive Lie groups ILuis Casian — 1989
• Orbital varieties of the minimal orbitA JOSEPH — 1998
• Positivity results for the Hecke algebras of non-crystallographic finite Coxeter groupsFokko du Cloux — 2005
• Lower bounds for Kazhdan-Lusztig polynomials from patternsSara Billey, Tom Braden — 2002
• Singular blocks of the categoryORonald S. Irving — 1990
• GOVERNING SINGULARITIES OF SCHUBERT VARIETIESAlexander Woo, Alexander Yong — 2006
• Interval Pattern Avoidance for Arbitrary Root SystemsAlexander Woo — 2006
• Loewy Series for Principal Series Representations of Finite Chevalley GroupsCornelius Pillen — 1997
• On matrix coefficients of the reflection representationJ. Matthew Douglass, Brad Shelton — 1989
• Loewy series of certain indecomposable modules for Frobenius subgroupsZong Zhu Lin — 1992

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• The Jantzen Filtration of a Certain Class of Verma ModulesJong-Min Ku — 1987
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