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PreprintCC BY 4.0arXiv

Simple Harish-Chandra bimodules in positive characteristics

  • Lewis Groves
  • Lewis Topley
  • Matthew Westaway
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Abstract

Let G be a standard reductive group over an algebraically closed field of positive characteristic and let g = Lie(G). The category of Harish-Chandra bimodules consists of G-equivariant U(g)-bimodules such that the adjoint g-action integrates to a G-action. In this paper we classify the simple Harish-Chandra bimodules and determine their central characters.

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Cite

BibTeXRIS
BibTeX
@misc{groves2026simple,
  title = {{Simple Harish-Chandra bimodules in positive characteristics}},
  author = {Lewis Groves and Lewis Topley and Matthew Westaway},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14112},
  eprint = {2609.14112},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14112},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Simple Harish-Chandra bimodules in positive characteristics
AU  - Lewis Groves
AU  - Lewis Topley
AU  - Matthew Westaway
PY  - 2026
DA  - 2026/09/12
PB  - arXiv
DO  - 10.48550/arxiv.2609.14112
UR  - https://arxiv.org/abs/2609.14112
AB  - Let G be a standard reductive group over an algebraically closed field of positive characteristic and let g = Lie(G). The category of Harish-Chandra bimodules consists of G-equivariant U(g)-bimodules such that the adjoint g-action integrates to a G-action. In this paper we classify the simple Harish-Chandra bimodules and determine their central characters.
ER  -