On classification of quasifinite representations of two classes of Lie superalgebras of block type

DOI10.1080/00927872.2016.1172620zbMath1418.17050OpenAlexW2529547982MaRDI QIDQ2980258

Chunguang Xia

Publication date: 28 April 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1172620

zbMATH Keywords

highest weight modulesmodules of the intermediate seriesLie superalgebras of Block typequasifinite modules

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 (2)

Non-weight modules over \(N = 1\) Lie superalgebras of Block type ⋮ Non-weight representations of Lie superalgebras of block type. I

Cites Work

• Quasifinite representations of a class of Block type Lie algebras \(\mathcal B(q)\)
• Irreducible quasifinite modules over a class of Lie algebras of Block type
• Indecomposable modules over the Virasoro Lie algebra and a conjecture of V. Kac
• The Schrödinger-Virasoro Lie group and algebra: representation theory and cohomological study
• Quasifinite modules of a Lie algebra related to Block type
• Determinant formulae and unitarity for the \(N=2\) superconformal algebras in two dimensions or exact results on string compactification
• Moduli spaces of curves and representation theory
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• A classification of indecomposable \(sl_ 2(\mathbb{C})\)-modules and a conjecture of Kac on irreducible modules over the Virasoro algebra
• Determinant formula for the topological \(N=2\) superconformal algebra.
• Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series
• Classification of quasifinite modules over the Lie algebras of Weyl type.
• Quasifinite representations of a Lie algebra of Block type
• Schrödinger invariance and strongly anisotropic critical systems
• Generalizations of the Block algebras
• Variational calculus of supervariables and related algebraic structures
• Classification of quasifinite representations of a Lie algebra related to Block type
• Structure of two classes of Lie superalgebras of Block type
• CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG–VIRASORO ALGEBRA
• Representations of the virasoro-like algebra and itsq-Analog
• Structure of Lie Superalgebras of Block Type Related to Locally Finite Derivations
• Classification of harish-chandra modules over the super-virasoro algebras

This page was built for publication: On classification of quasifinite representations of two classes of Lie superalgebras of block type