English

Extensions between finite-dimensional simple modules over a generalized current Lie algebra

Representation Theory 2009-08-30 v2 Quantum Algebra

Abstract

We calculate the first extension groups for finite-dimensional simple modules over an arbitrary generalized current Lie algebra, which includes the case of loop Lie algebras and their multivariable analogs.

Keywords

Cite

@article{arxiv.0908.3738,
  title  = {Extensions between finite-dimensional simple modules over a generalized current Lie algebra},
  author = {Ryosuke Kodera},
  journal= {arXiv preprint arXiv:0908.3738},
  year   = {2009}
}

Comments

16 pages; added a remark on a work by Chari and Greenstein

R2 v1 2026-06-21T13:38:59.572Z