Automorphisms, derivations, and central extensions of Lie algebras arising from quantum tori

DOI10.1080/00927872.2019.1576185zbMath1457.17018arXiv2001.01189OpenAlexW3103302738MaRDI QIDQ5227677

Chengkang Xu

Publication date: 7 August 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01189

zbMATH Keywords

automorphismderivationquantum toruscentral extensionhigher rank Virasoro algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Cohomology of Lie (super)algebras (17B56)

Related Items (1)

Deformed higher rank Heisenberg-Virasoro algebras

Cites Work

• The higher rank Virasoro algebras
• Derivations and central extensions of finitely generated graded Lie algebras
• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• IRREDUCIBLE HARISH CHANDRA MODULES OVER THE DERIVATION ALGEBRAS OF RATIONAL QUANTUM TORI
• On the Classification of Rational Quantum Tori and the Structure of Their Automorphism Groups
• Derivations, isomorphisms, and second cohomology of generalized Witt algebras
• Central Extensions and Derivations of the Lie Algebras of Skew Derivations for the Quantum Torus
• The Derivation Algebra and Automorphism Group of the Twisted Heisenberg–Virasoro Algebra

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