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A note on Bridgeland's Hall algebra of two-periodic complexes

Quantum Algebra 2012-07-06 v1 Representation Theory

Abstract

We show that the Hall algebra of two-periodic complexes, which is recently introduced by T.Bridgeland, coincides with the Drinfeld double of the ordinary Hall bialgebra.

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Cite

@article{arxiv.1207.0905,
  title  = {A note on Bridgeland's Hall algebra of two-periodic complexes},
  author = {Shintarou Yanagida},
  journal= {arXiv preprint arXiv:1207.0905},
  year   = {2012}
}

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12 pages