A Proof of the Goodearl–Lenagan Polynormality Conjecture

DOI10.1093/imrn/rns111zbMath1322.16023arXiv1109.3065OpenAlexW3099563326WikidataQ123281283 ScholiaQ123281283MaRDI QIDQ5250693

Milen T. Yakimov

Publication date: 22 May 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3065

zbMATH Keywords

simple Lie algebrasquantum minorsalgebras of quantum matricespolynormal generating setstorus invariant prime ideals

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Ideals in associative algebras (16D25) Ring-theoretic aspects of quantum groups (16T20)

Related Items (11)

From Grassmann necklaces to restricted permutations and back again ⋮ Noncommutative discriminants via Poisson primes ⋮ Total Positivity is a Quantum Phenomenon: The Grassmannian Case ⋮ The Launois-Lenagan conjecture. ⋮ Quantum Schubert cells via representation theory and ring theory ⋮ Quantum cluster algebra structures on quantum nilpotent algebras ⋮ A strong Dixmier-Moeglin equivalence for quantum Schubert cells ⋮ Twist invariants of graded algebras ⋮ On the Spectra of Quantum Groups ⋮ Tauvel’s height formula for quantum nilpotent algebras ⋮ Catenarity in quantum nilpotent algebras

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