Representations of the ExtendedW-Algebra

DOI10.1080/00927872.2012.762923zbMath1358.17025OpenAlexW2024619832MaRDI QIDQ5412083

Xue Chen, Cuipo (Cuibo) Jiang

Publication date: 25 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.762923

zbMATH Keywords

Verma moduleirreducible weight moduleclassification of irreducible Harish-Chandra modulesextended W-algebra

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)

Cites Work

• \(W\)-algebra \(W\)(2, 2) and the vertex operator algebra \({L(\frac{1}{2},\,0)\,\otimes\, L(\frac{1}{2},\,0)}\)
• Classification of irreducible weight modules with a finite-dimensional weight space over twisted Heisenberg-Virasoro algebra
• Classification of simple weight Virasoro modules with a finite-dimensional weight space
• Moduli spaces of curves and representation theory
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Doubly \(\mathbb{Z}\)-graded Lie algebras containing a Virasoro algebra
• Classification of quasifinite modules over the Lie algebras of Weyl type.
• Low-Dimensional Cohomology Groups of the Lie Algebras W(a,b)
• Representations of the Twisted Heisenberg–Virasoro Algebra and the Full Toroidal Lie Algebras
• Harish-Chandra modules over the twisted Heisenberg-Virasoro algebra
• CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG–VIRASORO ALGEBRA
• Classification of irreducible weight modules over W-algebra W(2,2)
• Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero
• On the structure of Verma modules over the W-algebra W(2,2)

This page was built for publication: Representations of the ExtendedW-Algebra