On self-extensions of irreducible modules over symmetric groups

DOI10.1090/tran/8566OpenAlexW3036726063MaRDI QIDQ5863059

Lucia Morotti, Haralampos Geranios, Alexander S. Kleshchev

Publication date: 10 March 2022

Full work available at URL: https://arxiv.org/abs/2006.12961

zbMATH Keywords

positive characteristicsymmetric groupirreducible moduleSpecht moduleself-extensions

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Cohomology of groups (20J06)

Related Items

Irreducible tensor products for alternating groups in characteristic 2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Irreducible Specht modules for Hecke algebras of type \(A\).
• Combinatorics and the Schur algebra
• On comparing the cohomology of general linear and symmetric groups.
• Polynomial representations of \(\text{GL}_n\). With an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker.
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
• On the decomposition matrices of the symmetric groups. III
• On the decomposition matrices of the symmetric groups. II
• The representation theory of the symmetric groups
• Specht series for skew representations of symmetric groups
• Asymptotic results on modular representations of symmetric groups and almost simple modular group algebras
• A proof of the Mullineux conjecture
• On residue symbols and the Mullineux conjecture
• Row and column removal theorems for homomorphisms between Specht modules.
• Methods of graded rings.
• Blocks of symmetric groups, semicuspidal KLR algebras and zigzag Schur-Weyl duality
• On extensions of simple modules over symmetric and algebraic groups
• Turner doubles and generalized Schur algebras
• Generalized Schur algebras
• Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems
• Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
• Invariants of Specht modules.
• SYMMETRIC GROUPS, WREATH PRODUCTS, MORITA EQUIVALENCES, AND BROUÉ'S ABELIAN DEFECT GROUP CONJECTURE
• Rock blocks
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
• On Translation Functors for General Linear and Symmetric Groups
• Irreducible tensor products for symmetric groups in characteristic 2
• Branching Rules for Modular Representations of Symmetric Groups III: Some Corollaries and a Problem of Mullineux
• Graded Specht modules