Simple Virasoro modules induced from codimension one subalgebras of the positive part
By Volodymyr Mazorchuk, Emilie Wiesner. 2012
47 citations recorded by the source corpus.
We construct a new five-parameter family of simple modules over the Virasoro Lie algebra.
Subfields: Algebra and Number Theory, Atomic and Molecular Physics, and Optics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/480e6293cecf07eb01405adc8002885d5bab664c
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In Algebra and Number Theory
In Atomic and Molecular Physics, and Optics
In Geometry and Topology
Citations in the corpus
- A class of simple weight Virasoro modules (2012, background): “W, OW2]. These (except the Weyl modules in [LZ]) are basically various versions of Whittaker modules constructed using different tricks. In particular, all the above Whittaker modules (but the ones in [MW])and even more were described in a uniform way in [MZ3]. Now we briefly describe the main results”
- Irreducible Virasoro modules from irreducible Weyl modules (2012, methodology): “ module over the associative algebra K which is C[t,t−1]-torsion-free and C[∂]- torsion-free. Then Ab is not isomorphic to Indθ(N) for any irreducible N ∈ V+-mod, or the modules Indθ,z(C m) defined in [MW] for any θ,m2,m3, m4 ∈ Cand z ∈ C∗. Proof. It was proved that V = Indθ(N) is irreducible over V ”