A modular version of Klyachko's theorem on Lie representations of the general linear group

DOI10.1017/S0305004112000072zbMath1283.20053WikidataQ115336015 ScholiaQ115336015MaRDI QIDQ2898404

Marianne Johnson, Roger M. Bryant

Publication date: 11 July 2012

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

tilting modulestensor powersLie powersdirect sums of indecomposable modules

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Identities, free Lie (super)algebras (17B01)

Related Items (2)

Some remarks on tilting modules, double centralisers and Lie modules ⋮ The Complexity of the Lie Module

Cites Work

• Factorisation of Lie resolvents
• Lie powers and Witt vectors
• Tilting modules, symmetric functions, and the module structure of the free Lie algebra
• On tilting modules for algebraic groups
• FREE LIE ALGEBRAS AND ADAMS OPERATIONS
• THE DECOMPOSITION OF LIE POWERS

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