publication . Preprint . Article . 2012

The Hall module of an exact category with duality

Matthew B. Young;
Open Access English
  • Published: 03 Dec 2012
Abstract
Comment: 25 pages. Revised to improve presentation and strengthen results. Removed final section on self-dual Hall polynomials since it is not required for the main results
Subjects
arXiv: Mathematics::Representation TheoryCondensed Matter::Mesoscopic Systems and Quantum Hall Effect
free text keywords: Mathematics - Representation Theory, Mathematics - Quantum Algebra, Algebra and Number Theory, Algebra, Duality (optimization), First order, Representation theory, Quantum, Finitary, Mathematics, Quiver, Exact category, Hall algebra
Related Organizations
Funded by
NSERC
Project
  • Funder: Natural Sciences and Engineering Research Council of Canada (NSERC)

[1] M. Auslander, I. Reiten, and S. Smalø. Representation theory of Artin algebras, volume 36 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, 1997.

[2] P. Balmer. Witt groups. In Handbook of K-theory. Vol. 1, 2, pages 539-576. Springer, Berlin, 2005.

[3] A. Berenstein and J. Greenstein. Primitively generated Hall algebras. arXiv:1209.2770, 2012.

[4] H. Derksen and J. Weyman. Generalized quivers associated to reductive groups. Colloq. Math., 94(2):151-173, 2002.

[5] N. Enomoto. A quiver construction of symmetric crystals. Int. Math. Res. Not., 12:2200-2247, 2009.

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publication . Preprint . Article . 2012

The Hall module of an exact category with duality

Matthew B. Young;