Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series

By Yu-cai Su, Kaiming Zhao. 2002

88 citations recorded by the source corpus.

Generalized Virasoro algebras (defined as the universal central extension of some generalized Witt algebras) and super-Virasoro algebras and modules of the intermediate series are studied and discussed.

Subfields: Electrical and Electronic Engineering, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3ead51d3549460f87a19177b943dad81a8c82a17

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Electrical and Electronic Engineering

1. R. Lu
2. Kaiming Zhao
3. Yu-cai Su

In Geometry and Topology

1. R. Lu
2. Kaiming Zhao
3. Yuly Billig
4. Yu-cai Su
5. Xiangqian Guo

In Statistical and Nonlinear Physics

1. R. Lu
2. Kaiming Zhao
3. Yuly Billig
4. Yu-cai Su
5. Xiangqian Guo

Citations in the corpus

• Classification of irreducible weight modules over higher rank Virasoro algebras (2003, background): “now recall Theorem 2.3 ([ SZ , Theorem 4.6]).”
• Classification of Harish-Chandra Modules over the Higher Rank Virasoro Algebras (2003, background): “Observe that a generalized Witt algebra W (m, Γ) has a (unique) nontrivial central extension if and only if m = 1, in this case the universal central extension of W (1, Γ) is referred to as a generalized Virasoro algebra in [18], denoted by Ŵ (1, Γ).”
• Weight modules over exp-polynomial Lie algebras (2003, background): “In [ SZ ], all weight modules with weight multiplicity 1 were determined, which are some so-called intermediate series modules.”
• CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG-VIRASORO ALGEBRA (2005, background): “(These facts appear in many references, for example in [ SZ ]).”