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Verma modules for rank two Heisenberg-Virasoro algebra
- Source :
- SCIENCE CHINA Mathematics; 20240101, Issue: Preprints p1-12, 12p
- Publication Year :
- 2024
-
Abstract
- Let ⪯ be a compatible total order on the additive group ℤ2, and Lbe the rank two Heisenberg-Virasoro algebra. For any c= (c1, c2, c3, c4) ∈ℂ4, we define a ℤ2-graded Verma module M(c, ⪯) for L. A necessary and sufficient condition for M(c, ⪯) to be irreducible is provided. Moreover, the maximal ℤ2-graded submodules of M(c, ⪯) are characterized when M(c, ⪯) is reducible.
Details
- Language :
- English
- ISSN :
- 16747283
- Issue :
- Preprints
- Database :
- Supplemental Index
- Journal :
- SCIENCE CHINA Mathematics
- Publication Type :
- Periodical
- Accession number :
- ejs50054003
- Full Text :
- https://doi.org/10.1007/s11425-018-9412-4