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Hamiltonian Extended Affine Lie Algebras and its representation theory

Representation Theory 2022-03-01 v1

Abstract

We introduce a new class of extended affine Lie algebras called Hamiltonian Extended Lie Algebras(HEALAs). They are so called because the corresponding derivation algebra is the classical Hamiltonian algebra. We classify the irreducible integrable modules for the HEALA based on the classification of irreducible Jet modules for the Hamiltonian algebra (both zero level and non-zero level.

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Cite

@article{arxiv.2202.13507,
  title  = {Hamiltonian Extended Affine Lie Algebras and its representation theory},
  author = {S Eswara Rao},
  journal= {arXiv preprint arXiv:2202.13507},
  year   = {2022}
}

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27 pages