Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero
By Yuly Billig. Canadian mathematical bulletin, 2002
100 citations recorded by the source corpus.
Abstract We describe the structure of the irreducible highest weight modules for the twisted Heisenberg–Virasoro Lie algebra at level zero. We prove that either a Verma module is irreducible or its maximal submodule is cyclic.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/c720d0827f3374c6ca5ba4bf0dbc8a720d38b17c
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In Algebra and Number Theory
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Citations in the corpus
- The Derivation Algebra and Automorphism Group of the Twisted Heisenberg–Virasoro Algebra (2006, background): “…, which can also be considered as the universal central extension of the Lie algebra of differential operators on a circle of order at most one: { f t d dt + g t f g ∈ t t−1 } Representations of the twisted Heisenberg–Virasoro algebra have been studied in Arbarello et al. (1988) and Billig (2003).”
- Low-Dimensional Cohomology Groups of the Lie Algebras W(a, b) (2011, background): “Note that Vir (0, 0) is just the so-called twisted Heisenberg–Virasoro algebra [ 1 , 20 ], which plays an important role in the representation theory of toroidal Lie algebras [ 3 ].”