Representations of the \(\mathcal{C}\)-series related to the q-analog Virasoro-like Lie algebra

DOI10.1016/J.LAA.2024.06.028MaRDI QIDQ6615429

Jingjing Jiang

Publication date: 8 October 2024

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

zbMATH Keywords

representationVerma modulehighest weight moduleHarish-Chandra module\(e\)-character

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65)

Cites Work

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• Classification of irreducible weight modules over higher rank Virasoro algebras
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• Highest weight irreducible representations of rank 2 quantum tori
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• Harish-Chandra modules for the \(q\)-analog Virasoro-like algebra
• The q-Analog Klein Bottle Lie Algebra
• Irreducible weight modules for the Virasoro-like algebra and its q-analog
• On Torsion-Free Abelian Groups and Lie Algebras
• A q-analog for the virasoro algebra
• Representations of the virasoro-like algebra and itsq-Analog
• The derivation algebra of the associative algebra C_q[X,Y,X^-1,Y^-1]^*
• Representations of some quantum tori Lie subalgebras
• Verma modules over Virasoro-like algebras

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