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Everything about Verma module
Objects in representation theory of Lie algebras
Verma modules, named after Daya-Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Verma moduleA 5-minute orientation
- Skim a recent paper: A homological model for Uq𝔰𝔩2 Verma modules and their braid representationsInfluential work since 2022
- Pick up a classic book: A filtered category OS and applicationsThe most-reprinted book on the subject
- Read the landmark paper: Verma modules over the virasoro algebraCited 116 times
- Go sideways: Generalized Verma moduleA closely related topic
- Go sideways: Weight (representation theory)A closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Verma modules over the virasoro algebra
The socle filtration of a Verma module
Semiholonomic Verma Modules
Sphere correlation functions and Verma modules
Verma module annihilators for quantized enveloping algebras
Extensions of Verma modules
Homomorphisms between generalized Verma modules
Filtrations on Verma modules
🆕 Influential since 2022
A homological model for Uq𝔰𝔩2 Verma modules and their braid representations
Contravariant pairings between standard Whittaker modules and Verma modules
Crystal bases of parabolic Verma modules over the quantum orthosymplectic superalgebras
Gelfand–Kirillov Dimension and Reducibility of Scalar Generalized Verma Modules for Classical Lie Algebras
Kostant’s problem for parabolic Verma modules
đź“š Books worth reading
A filtered category OS and applicationsRonald S. Irving · 1990- 📕Generalized verma modulesV. Mazorchuk · 2000
Kazhdan-Lusztig theory and related topics · 1992
Categories of highest weight modulesThomas J. Enright · 1987
Hodge theory, complex geometry, and representation theoryNSF/CBMS Regional Conference in the Mathematical Sciences: Hodge Theory, Complex Geometry, and Representation Theory (2012 Fort Worth, Tex.) · 2013- 📕Representation theory and mathematical physicsGregg Zuckerman · 2011
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
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