Combinatorial aspects of an odd linkage property for general linear supergroups

DOI10.1007/s10468-021-10073-7zbMath1520.20098arXiv1609.01783OpenAlexW3173981193MaRDI QIDQ6166110

František Marko

Publication date: 2 August 2023

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01783

zbMATH Keywords

general linear supergrouplinkage principle

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Combinatorial aspects of groups and algebras (05E16)

Related Items (1)

Even-primitive vectors in induced supermodules for general linear supergroups and in costandard supermodules for Schur superalgebras

Cites Work

• Primitive vectors in induced supermodules for general linear supergroups
• A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence
• A new proof of the Mullineux conjecture.
• Blocks for the general linear supergroup \(\mathrm{GL}(m|n)\)
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Tableau algorithms defined naturally for pictures
• Even-primitive vectors in induced supermodules for general linear supergroups and in costandard supermodules for Schur superalgebras
• Description of Costandard Modules of Schur SuperalgebraS(3 | 1)
• DESCRIPTION OF SIMPLE MODULES FOR SCHUR SUPERALGEBRA S(2|2)
• COSTANDARD MODULES OVER SCHUR SUPERALGEBRAS IN CHARACTERISTIC p
• Some properties of general linear supergroups and of Schur superalgebras

This page was built for publication: Combinatorial aspects of an odd linkage property for general linear supergroups