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PreprintCC BY 4.0arXiv

Irreducibility of Verma modules for symmetrizable Kac-Moody superalgebras

Abstract

We establish a criterion for the irreducibility of Verma modules over symmetrizable Kac--Moody superalgebras. Our main tool is the Weyl-Kac denominator identity.

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BibTeX
@misc{gorelik2026irreducibility,
  title = {{Irreducibility of Verma modules for symmetrizable Kac-Moody superalgebras}},
  author = {Maria Gorelik},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.06109},
  eprint = {2610.06109},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.06109},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Irreducibility of Verma modules for symmetrizable Kac-Moody superalgebras
AU  - Maria Gorelik
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.06109
UR  - https://arxiv.org/abs/2610.06109
AB  - We establish a criterion for the irreducibility of Verma modules over symmetrizable Kac--Moody superalgebras. Our main tool is the Weyl-Kac denominator identity.
ER  -