On the dimension of \(H\)-strata in quantum algebras.

DOI10.2140/ant.2010.4.175zbMath1226.16024arXiv0902.4813OpenAlexW3125576680MaRDI QIDQ969270

Jason P. Bell, Stephane Launois

Publication date: 6 May 2010

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.4813

zbMATH Keywords

quantum matricesquantum algebrasKrull dimensionstratificationscoordinate ringsprime spectraCauchon diagramsiterated skew polynomial algebrasLe-diagramsstrata of prime ideals

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ordinary and skew polynomial rings and semigroup rings (16S36) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Ring-theoretic aspects of quantum groups (16T20)

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Total Positivity is a Quantum Phenomenon: The Grassmannian Case ⋮ Enumeration of \(\mathcal H\)-strata in quantum matrices with respect to dimension ⋮ Poisson deleting derivations algorithm and Poisson spectrum ⋮ Quantum Schubert cells via representation theory and ring theory ⋮ Rigidity of quantum tori and the Andruskiewitsch-Dumas conjecture ⋮ SPECTRA AND CATENARITY OF MULTI-PARAMETER QUANTUM SCHUBERT CELLS ⋮ The center of 𝒰_q (𝔫_ω) ⋮ A strong Dixmier-Moeglin equivalence for quantum Schubert cells ⋮ On the Spectra of Quantum Groups ⋮ Tauvel’s height formula for quantum nilpotent algebras

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