Restricted Irreducible Representations for the Non-graded Hamiltonian $H(2; (1,1); \Phi(1))$

Horacio Guerra

Restricted Irreducible Representations for the Non-graded Hamiltonian $H(2; (1,1); \Phi(1))$

Representation Theory 2020-07-09 v3 Rings and Algebras

Authors: Horacio Guerra

Abstract

We classify the simple restricted modules for the minimal $p$ -envelope of the non-graded, non-restricted Hamiltonian Lie algebra $H(2; (1,1); \Phi(1))$ over an algebraically closed field $k$ of characteristic $p \geq 5$ . We also give the restrictions of these modules to a subalgebra isomorphic to the first Witt Algebra, a result stated in [S. Herpel and D. Stewart, \emph{Selecta Mathematica} 22:2 (2016) 765--799] with an incomplete proof.

Keywords

restricted modules hamiltonian lie algebra witt algebra characteristic p irreducible representations p-envelope

Cite

@article{arxiv.2003.04233,
  title  = {Restricted Irreducible Representations for the Non-graded Hamiltonian $H(2; (1,1); \Phi(1))$},
  author = {Horacio Guerra},
  journal= {arXiv preprint arXiv:2003.04233},
  year   = {2020}
}

Comments

42 pages

Restricted Irreducible Representations for the Non-graded Hamiltonian $H(2; (1,1); \Phi(1))$

Abstract

Keywords

Cite

Comments

Related papers