A Weyl group for the Virasoro and \(N=1\) super-Virasoro algebras

DOI10.1007/BF01219661zbMath0693.17008MaRDI QIDQ584369

Vladimir K. Dobrev

Publication date: 1989

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Weyl grouphighest weight modulesVirasoro algebracharacter formulasirreducible highest weight representationsNeveu-Schwarz superalgebraRamond superalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Applications of Lie (super)algebras to physics, etc. (17B81) Superalgebras (17A70)

Related Items

Simple restricted modules over the \(N = 1\) Ramond algebra as weak modules for vertex operator superalgebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New Weyl groups for \(A_ 1^{(1)}\) and characters of singular highest weight modules
• Infinite dimensional Lie algebras. An introduction
• Multiplet classification of the reducible elementary representations of real semisimple Lie groups: The \(SO_ e(p,q)\) example
• Infinite-dimensional Lie algebras, theta functions and modular forms
• On the group-theoretical approach to extended conformal supersymmetry: classification of multiplets
• Unitary representations of the Virasoro and super-Virasoro algebras
• Highest weight representations of the Neveu-Schwarz and Ramond algebras
• Multiplet classification of the indecomposable highest weight modules over the Neveu-Schwarz and Ramond superalgebras
• Interpolation of quasilinear operators and inequalities for entire functions in symmetric spaces
• Characters of irreducible representations of the Lie algebra of vector fields on the circle
• Fixed points of diffeomorphisms of two-dimensional spheres preserving an oriented plane
• Singular vectors in Verma modules over Kac-Moody algebras