GENERALISED QUANTUM DETERMINANTAL RINGS ARE MAXIMAL ORDERS

DOI10.1017/S001708952000035XzbMath1483.16035arXiv2002.10293OpenAlexW3047351902MaRDI QIDQ5009399

Thomas H. Lenagan, Laurent Rigal

Publication date: 23 August 2021

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

Full work available at URL: https://arxiv.org/abs/2002.10293

zbMATH Keywords

Schubert varietiesskew polynomial extensionsquantum determinantal rings

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42) Noetherian rings and modules (associative rings and algebras) (16P40) Ring-theoretic aspects of quantum groups (16T20)

Cites Work

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• Quantum graded algebras with a straightening law and the AS-Cohen-Macaulay property for quantum determinantal rings and quantum Grassmannians.
• Ordres maximaux au sens de K. Asano
• Quantum determinantal ideals
• THE MAXIMAL ORDER PROPERTY FOR QUANTUM DETERMINANTAL RINGS
• PRIME IDEALS INVARIANT UNDER WINDING AUTOMORPHISMS IN QUANTUM MATRICES
• RING THEORETIC PROPERTIES OF QUANTUM GRASSMANNIANS
• QUANTUM ANALOGUES OF SCHUBERT VARIETIES IN THE GRASSMANNIAN
• Quantum linear groups

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