QUANTUM ANALOGUES OF SCHUBERT VARIETIES IN THE GRASSMANNIAN

DOI10.1017/S0017089507003928zbMath1134.16018arXivmath/0610794MaRDI QIDQ5444667

Thomas H. Lenagan, Laurent Rigal

Publication date: 25 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0610794

zbMATH Keywords

quantum Schubert varietiesquantum Grassmanniansquantum minorsnormal domainsgeneric coordinate algebrasrings arising in quantum group theory

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Grassmannians, Schubert varieties, flag manifolds (14M15) Divisibility, noncommutative UFDs (16U30) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (6)

Double-partition quantum cluster algebras ⋮ Quantum analogues of Richardson varieties in the Grassmannian and their toric degeneration. ⋮ Cyclic Demazure modules and positroid varieties ⋮ Total Positivity is a Quantum Phenomenon: The Grassmannian Case ⋮ Twisting the quantum grassmannian ⋮ GENERALISED QUANTUM DETERMINANTAL RINGS ARE MAXIMAL ORDERS

Cites Work

• Quantum graded algebras with a straightening law and the AS-Cohen-Macaulay property for quantum determinantal rings and quantum Grassmannians.
• Standard basis theorem for quantum linear groups
• Connected graded Gorenstein algebras with enough normal elements
• Gourmet's guide to Gorensteinness
• Minor identities for quasi-determinants and quantum determinants
• THE MAXIMAL ORDER PROPERTY FOR QUANTUM DETERMINANTAL RINGS
• RING THEORETIC PROPERTIES OF QUANTUM GRASSMANNIANS

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