On Extensions Between Verma Modules

2015/09/09 by Kevin J. Carlin, Carlin, Kevin J.
Mathematics · #17B10 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1509.02812

openalex publication_date 2015/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A recent result of N. Abe implies that the Gabber-Joseph conjecture is true for the first-degree extensions between Verma modules with regular integral highest weights.

Related

• First extension groups of Verma modules and R-polynomials
• Extensions of Verma modules
• Constructing homomorphisms between Verma modules
• Generalized Verma modules over sl(m+1) induced from simple highest weight modules
• Low degree morphisms of E(5,10)-generalized verma modules