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Selected Works of Paul Gunnells
Unpublished Paper
Generalised Burnside rings, G-categories and module categories
Journal of Algebra (2012)
  • Paul E. Gunnells, University of Massachusetts - Amherst
  • Andrew Rose
  • Dmitriy Rumynin
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Abstract
This note describes an application of the theory of generalised Burnside rings to algebraic representation theory. Tables of marks are given explicitly for the groups S4 and S5 which are of particular interest in the context of reductive algebraic groups. As an application, the base sets for the nilpotent element F4(a3) are computed.
Keywords
  • Burnside ring,
  • Module category,
  • Table of marks,
  • Kazhdan–Lusztig cells
Disciplines
Publication Date
March 12, 2012
Comments
Pre-published version downloaded from archive ArXiv.org. Published version located at http://www.sciencedirect.com/science/article/pii/S0021869312001135#.
Citation Information
Paul E. Gunnells, Andrew Rose and Dmitriy Rumynin. "Generalised Burnside rings, G-categories and module categories" Journal of Algebra (2012)
Available at: http://works.bepress.com/paul_gunnells/32/