English

Bialgebra structure on Bridgeland's Hall algebra of two-periodic complexes

Quantum Algebra 2013-04-26 v1

Abstract

We study the bialgebra structure of the Hall algebra of two-periodic complexes recently introduced by Bridgeland. We introduce coproduct on Bridgeland's Hall algebra, and show that in the hereditary case the resulting bialgebra structure coincides with that on Drinfeld double of the ordinary Hall algebra

Keywords

Cite

@article{arxiv.1304.6970,
  title  = {Bialgebra structure on Bridgeland's Hall algebra of two-periodic complexes},
  author = {Shintarou Yanagida},
  journal= {arXiv preprint arXiv:1304.6970},
  year   = {2013}
}