On self-Mullineux and self-conjugate partitions

DOI10.37236/9283OpenAlexW3146664275MaRDI QIDQ2662338

Ana Bernal

Publication date: 12 April 2021

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.06735

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20)

Related Items (3)

Multiplication theorems for self-conjugate partitions ⋮ Unitriangular basic sets for blocks of the symmetric and alternating groups of small weights ⋮ Multiplication theorems for self-conjugate partitions

Cites Work

• A combinatorial proof of a refinement of the Andrews-Olsson partition identity
• On Mullineux symbols
• A proof of the Mullineux conjecture
• On residue symbols and the Mullineux conjecture
• A basic set for the alternating group
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
• On the p -Cores of p -Regular Diagrams
• On properties of the Mullineux map with an application to Schur modules
• Irreducible representations of the alternating group in odd characteristic
• Branching Rules for Modular Representations of Symmetric Groups III: Some Corollaries and a Problem of Mullineux
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