Skip to main content
eScholarship
Open Access Publications from the University of California

Primitively generated Hall algebras

  • Author(s): Berenstein, Arkady
  • Greenstein, Jacob
  • et al.

Published Web Location

http://dx.doi.org/10.2140/pjm.2016.281.287
No data is associated with this publication.
Abstract

© 2016 Mathematical Sciences Publishers. In the present paper we show that Hall algebras of finitary exact categories behave like quantum groups in the sense that they are generated by indecomposable objects. Moreover, for a large class of such categories, Hall algebras are generated by their primitive elements, with respect to the natural comultiplication, even for nonhereditary categories. Finally, we introduce certain primitively generated subalgebras of Hall algebras and conjecture an analogue of "Lie correspondence" for those finitary categories.

Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.

Item not freely available? Link broken?
Report a problem accessing this item