IRREDUCIBLE HARISH CHANDRA MODULES OVER THE DERIVATION ALGEBRAS OF RATIONAL QUANTUM TORI

DOI10.1017/S0017089512000845zbMath1282.17009arXiv1506.03869OpenAlexW644550018WikidataQ115344451 ScholiaQ115344451MaRDI QIDQ2845582

Genqiang Liu, Kaiming Zhao

Publication date: 2 September 2013

Published in: Linear Algebra and its Applications, Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.03869

zbMATH Keywords

weight modulequantum toriderivation algebrairreducible module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (9)

Cuspidal modules for the derivation Lie algebra over a rational quantum torus ⋮ Irreducible integrable modules for the full toroidal Lie algebras coordinated by rational quantum torus ⋮ The irreducible modules for the derivations of the rational quantum torus ⋮ Irreducible weight modules for the Virasoro-like algebra and its q-analog ⋮ Modules of highest weight type for the algebra of derivations over a rational quantum torus ⋮ Irreducible modules over the divergence zero algebras and their \(q\)-analogues ⋮ Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact subalgebra ⋮ Automorphisms, derivations, and central extensions of Lie algebras arising from quantum tori ⋮ IRREDUCIBLE HARISH CHANDRA MODULES OVER THE DERIVATION ALGEBRAS OF RATIONAL QUANTUM TORI

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