Metabelian Lie powers of the natural module for a general linear group

DOI10.1016/j.jalgebra.2011.11.021zbMath1260.17008OpenAlexW2047446427WikidataQ115351151 ScholiaQ115351151MaRDI QIDQ435941

L. G. Kovács, Karin Erdmann

Publication date: 13 July 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.11.021

zbMATH Keywords

free metabelian Lie algebradual Weyl moduleinfinite general linear groupsubmodule lattice

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Lattices of varieties (08B15) Identities, free Lie (super)algebras (17B01) Solvable, nilpotent (super)algebras (17B30)

Related Items (2)

A note on the adjoint action of a semisimple group on the coordinate algebra of an infinitesimal subgroup ⋮ L. G. KOVÁCS’ WORK ON LIE POWERS

Cites Work

• Polynomial representations of \(\text{GL}_n\). With an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker.
• The submodule structure of certain Weyl modules for groups of type \(A_ n\)
• On the representations of the full matrix semigroup on homogeneous polynomials
• On the representations of the full matrix semigroup on homogeneous polynomials. II
• Diagrams for modules
• Integration in free groups
• Lie Powers of Modules for Groups of Prime Order
• Lie powers in prime degree
• On the Modular Representation Theory of the Two-Dimensional Special Linear Group Over an Algebraically Closed Field
• The global dimension of Schur algebras for \(\text{GL}_2\) and \(\text{GL}_3\)
• \(p\)-filtrations and the Steinberg module
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