Twist invariants of graded algebras

DOI10.1090/conm/715/14409zbMath1398.16014arXiv1706.06957OpenAlexW2962774612MaRDI QIDQ4961945

Milen T. Yakimov, Kenneth R. Goodearl

Publication date: 29 October 2018

Published in: Advances in Rings and Modules (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.06957

zbMATH Keywords

stable invariants2-cocycle twists of algebrasAlev-Dumas invariantslocally finite graded and filtered algebrasmaximal tori of automorphism groups

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional and general division rings (16K40) Graded rings and modules (associative rings and algebras) (16W50) Cluster algebras (13F60) Associative rings of fractions and localizations (16S85)

Related Items

Integral quantum cluster structures ⋮ Factoriality and class groups of cluster algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• From quantum Ore extensions to quantum tori via noncommutative UFDs
• On the field of fractions of certain quantum algebras
• Lectures on algebraic quantum groups
• A simple localization of the quantized Weyl algebra
• Zariski cancellation problem for noncommutative algebras
• Quantum cluster algebras.
• ON q-SKEW ITERATED ORE EXTENSIONS SATISFYING A POLYNOMIAL IDENTITY
• QUANTUM UNIQUE FACTORISATION DOMAINS
• Quantum deformations of GL_n
• The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras
• A Proof of the Goodearl–Lenagan Polynormality Conjecture
• Quantum cluster algebra structures on quantum nilpotent algebras
• Introduction to quantum groups