Quantum determinantal ideals

DOI10.1215/S0012-7094-00-10318-3zbMath0958.16025OpenAlexW1968543247MaRDI QIDQ1568664

Thomas H. Lenagan, Kenneth R. Goodearl

Publication date: 3 April 2001

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-00-10318-3

zbMATH Keywords

Hopf algebrasinvariant theoryquantized coordinate ringsquantum minorsquantum determinantsprime spectraprimitive spectranoncommutative algebras with straightening lawsvector space bases

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Ideals in associative algebras (16D25) Noetherian rings and modules (associative rings and algebras) (16P40)

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Cites Work

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• Young diagrams and determinantal varieties
• Determinantal rings
• Standard basis theorem for quantum linear groups
• Primitive ideals of \(\mathbb{C}_ q[SL(n)\)]
• The first fundamental theorem of coinvariant theory for the quantum general linear group
• The quantum coordinate ring of the special linear group
• Quantum deformations of GL_n
• Normalité de certains anneaux déterminantiels quantiques
• Prime spectra of quantum semisimple groups
• Quantum linear groups