PreprintCC BY 4.0arXiv
simple cartan-free modules of finite rank over the super-virasoro algebras
Abstract
We classify nontrivial simple super-Virasoro modules finitely generated over C[L0] using simple Laurent Weyl algebra modules finite free over C[D]. The classified modules are finite Cartan-free with equal parity ranks. We also prove finite length without simplicity and construct explicit nonsplit self-extensions.
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BibTeX
@misc{chen2026simple,
title = {{simple cartan-free modules of finite rank over the super-virasoro algebras}},
author = {Yang Chen and Yongqi Luo and Yueqiang Zhao},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.04835},
eprint = {2610.04835},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.04835},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - simple cartan-free modules of finite rank over the super-virasoro algebras
AU - Yang Chen
AU - Yongqi Luo
AU - Yueqiang Zhao
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2610.04835
UR - https://arxiv.org/abs/2610.04835
AB - We classify nontrivial simple super-Virasoro modules finitely generated over C[L_0] using simple Laurent Weyl algebra modules finite free over C[D]. The classified modules are finite Cartan-free with equal parity ranks. We also prove finite length without simplicity and construct explicit nonsplit self-extensions.
ER -