Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 42 min ago
PreprintarXiv licencearXiv

A decomposition theorem for elliptic structures of minimal rank on compact Lie groups and applications

  • Guido Drei
  • Max Reinhold Jahnke
Open at sourcePDFDOICite

Abstract

We show that every left-invariant elliptic structure of minimal rank on an odd-dimensional compact Lie group admits an algebraic decomposition analogous to those obtained by Pittie in the complex case and by Charbonnel and Khalgui for left-invariant CR structures of hypersurface type. We then use this decomposition to prove that the cohomology associated with such an elliptic structure can be reduced to a computation on a suitable maximal torus.

Related

  1. Frey-Mazur theorem for semistable elliptic curves over function fields
    Fateme Sajadi
    arXivPreprintarXiv licenceFull textAlgebra & number theoryDynamical systemsarXiv
  2. A short proof of the Bernoulli decomposition theorem
    Witold Bednorz Rafal Martynek, Rafal Meller
    arXivPreprintCC BY 4.0Full textCombinatorics & discrete mathematicsProbabilityarXiv
  3. An H-convergence-based implicit function theorem for homogenization of nonlinear non-smooth elliptic systems
    Lutz Recke
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv
  4. Quantum Elliptic Cohomology From Four-Dimensional Minimal Supersymmetric Gauge Theories
    Ilka Brunner, Peng Cheng, Hans Jockers
    arXivPreprintCC BY-NC-SA 4.0Full textAlgebra & number theoryMathematical physicsarXiv
  5. Hopf-Galois Structures on Extensions Arising from Division Points on Elliptic Curves
    Leolin Nkuete
    arXivPreprintCC BY-NC-SA 4.0Full textAlgebra & number theoryarXiv

Cite

BibTeXRIS
BibTeX
@misc{drei2026decomposition,
  title = {{A decomposition theorem for elliptic structures of minimal rank on compact Lie groups and applications}},
  author = {Guido Drei and Max Reinhold Jahnke},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.32335},
  eprint = {2609.32335},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.32335},
}
RIS
TY  - UNPB
TI  - A decomposition theorem for elliptic structures of minimal rank on compact Lie groups and applications
AU  - Guido Drei
AU  - Max Reinhold Jahnke
PY  - 2026
DA  - 2026/09/26
PB  - arXiv
DO  - 10.48550/arxiv.2609.32335
UR  - https://arxiv.org/abs/2609.32335
AB  - We show that every left-invariant elliptic structure of minimal rank on an odd-dimensional compact Lie group admits an algebraic decomposition analogous to those obtained by Pittie in the complex case and by Charbonnel and Khalgui for left-invariant CR structures of hypersurface type. We then use this decomposition to prove that the cohomology associated with such an elliptic structure can be reduced to a computation on a suitable maximal torus.
ER  -