scientific article; zbMATH DE number 7477315

zbMath1490.17009MaRDI QIDQ5034853

Yan-an Cai, Dongfang Gao, Jin Jiang

Publication date: 21 February 2022

Full work available at URL: https://www.heldermann.de/JLT/JLT31/JLT314/jlt31054.htm

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zbMATH Keywords

simple moduleshighest weight moduleselectrical Lie algebras3-step nilpotent Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05) Simple, semisimple, reductive (super)algebras (17B20) Combinatorial aspects of groups and algebras (05E16)

Related Items (1)

Electrical Lie algebras, the Schrödinger algebras and their representations

Cites Work

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• Electrical networks and Lie theory
• Balanced metric and Berezin quantization on the Siegel-Jacobi ball
• Quasi-Whittaker modules for the Schrödinger algebra
• The theory of Jacobi forms
• Continuous Hecke algebras.
• Circular planar graphs and resistor networks
• Lowest weight representations of the Schrödinger algebra and generalized heat/Schrödinger equations
• Uniform Lie algebras and uniformly colored graphs
• Planar electric networks. II
• Two-Step and Three-Step Nilpotent Lie Algebras Constructed from Schreier Graphs
• Generalized squeezed states for the Jacobi group
• Anosov automorphisms on compact nilmanifolds associated with graphs
• Elements of the representation theory of the Jacobi group

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