Classification of ℤ2-graded modules of intermediate series over a Block-type Lie algebra

DOI10.1142/S0219199715500595zbMath1366.17022arXivmath/0611942OpenAlexW1873525021WikidataQ115245752 ScholiaQ115245752MaRDI QIDQ2950150

Yucai Su, Xiao Qing Yue

Publication date: 8 October 2015

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611942

zbMATH Keywords

Virasoro algebraLie algebra of Block typemodules of the intermediate series

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (5)

Whittaker modules for a Lie algebra of Block type ⋮ Indecomposable modules of the intermediate series over \(\mathcal W(a, b)\) ⋮ \(U(\mathfrak{h})\)-free modules over the block algebra \(\mathcal{B}(q)\) ⋮ Weight modules over some Block algebras ⋮ Transposed Poisson structures on Block Lie algebras and superalgebras

Cites Work

• Quasifinite representations of a class of Block type Lie algebras \(\mathcal B(q)\)
• Quasifinite modules of a Lie algebra related to Block type
• Highest weight representations of a Lie algebra of Block type
• Weight modules over some Block algebras
• Classification of Harish-Chandra modules over the higher rank Virasoro algebras
• Quadratic conformal superalgebras
• Quasifinite representations of a Lie algebra of Block type
• Generalizations of the Block algebras
• Classification of quasifinite representations of a Lie algebra related to Block type
• Nonzero level Harish-Chandra modules over the Virasoro-like algebra
• CLASSIFICATION OF INFINITE DIMENSIONAL WEIGHT MODULES OVER THE LIE SUPERALGEBRAsl(2/1)
• Representations of the virasoro-like algebra and itsq-Analog
• Weight modules over generalized Witt algebras with 1-dimensional weight spaces
• Leibniz Central Extension on a Block Lie Algebra
• Irreducible Quasi-Finite Representations of a Block Type Lie Algebra
• Block (or Hamiltonian) Lie Symmetry of Dispersionless D-Type Drinfeld–Sokolov Hierarchy
• Verma modules over Virasoro-like algebras

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