On the Spectra of Quantum Groups

DOI10.1090/memo/1078zbMath1343.16030arXiv1106.3821OpenAlexW4237498005MaRDI QIDQ2925672

Milen T. Yakimov

Publication date: 17 October 2014

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

Full work available at URL: https://arxiv.org/abs/1106.3821

zbMATH Keywords

quantum groupsmaximal idealsseparation of variablesprime elementschain conditionsprime spectraquantum nilpotent algebrasquantum function algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Geometry of quantum groups (58B32) Quantum groups (quantized function algebras) and their representations (20G42) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Geometric quantization (53D50) Ideals in associative algebras (16D25) Ring-theoretic aspects of quantum groups (16T20)

Related Items (18)

From quantum Ore extensions to quantum tori via noncommutative UFDs ⋮ From Grassmann necklaces to restricted permutations and back again ⋮ Cocommutative elements form a maximal commutative subalgebra in quantum matrices ⋮ Cluster algebra structures on Poisson nilpotent algebras ⋮ Quantum cluster algebras and quantum nilpotent algebras ⋮ On the catenarity of virtually nilpotent mod-\(p\) Iwasawa algebras ⋮ On automorphisms of quantum Schubert cells ⋮ 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 ⋮ On the importance of being primitive ⋮ The center of 𝒰_q (𝔫_ω) ⋮ The prime spectrum of quantum SL3 and the Poisson prime spectrum of its semiclassical limit ⋮ Unnamed Item ⋮ Double Bruhat cells and symplectic groupoids ⋮ Quantum cluster algebra structures on quantum nilpotent algebras ⋮ Poisson Centralizer of the Trace ⋮ Catenarity in quantum nilpotent algebras

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