Projective resolutions of \(q\)-Weyl modules

DOI10.1016/S0022-4049(99)00114-0zbMath0984.20030WikidataQ127174039 ScholiaQ127174039MaRDI QIDQ5928857

Michael Klucznik

Publication date: 3 July 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

projective modules\(q\)-Schur algebrasbannered partitionsPieri decomposition ruleprojective resolutionsWeyl modules

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Projectives and injectives (category-theoretic aspects) (18G05) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items

Projective resolutions of \(q\)-Weyl modules ⋮ A combinatorial description of blocks in \({\mathcal O}({\mathcal P},\Lambda)\) associated with \(sl(2)\)-induction

Cites Work

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• A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)
• Schur functors and Schur complexes
• Polynomial representations, algebraic monoids, and Schur algebras of classical type
• Quantum multilinear algebra
• Quantum GL_n
• A straightening formula for quantized codete11minants
• Introduction to quantum groups
• Projective resolutions of \(q\)-Weyl modules