On the Gelfand-Kirillov conjecture for quantum algebras

DOI10.1090/S0002-9939-99-05045-5zbMath1057.17012OpenAlexW1691491483WikidataQ123118177 ScholiaQ123118177MaRDI QIDQ4942807

Philippe Caldero

Publication date: 15 March 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05045-5

zbMATH Keywords

quantum groupenveloping algebraGelfand-Kirillov conjectureR-matrixquantum Weyl fields

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ordinary and skew polynomial rings and semigroup rings (16S36)

Related Items (8)

Real spectra of quantum groups ⋮ Solution of a \(q\)-difference Noether problem and the quantum Gelfand-Kirillov conjecture for \(\mathfrak{gl}_N\) ⋮ Theq-difference Noether problem for complex reflection groups and quantum OGZ algebras ⋮ Fields of fractions of quantum solvable algebras ⋮ Rational equivalence of classical and quantum polynomial algebras. ⋮ On the \(q\)-commutations in \(U_q({\mathfrak n})\) at roots of one ⋮ Quantization of the Dixmier localization of \(U(sl_{n+1}(\mathbb C))\) ⋮ Vanishing of derivations and prime spectra of quantum algebras

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