Journal article
Tree modules and counting polynomials
Algebras and representation theory, Vol.16(5), pp.1333-1347
12/20/2011
DOI: 10.1007/s10468-012-9359-x
Abstract
Algebras and Representation Theory, 16(5): 1333-1347, 2013 We give a formula for counting tree modules for the quiver S_g with g loops and one vertex in terms of tree modules on its universal cover. This formula, along with work of Helleloid and Rodriguez-Villegas, is used to show that the number of d-dimensional tree modules for S_g is polynomial in g with the same degree and leading coefficient as the counting polynomial A_{S_g}(d, q) for absolutely indecomposables over F_q, evaluated at q=1.
Details
- Title: Subtitle
- Tree modules and counting polynomials
- Creators
- Ryan Kinser
- Resource Type
- Journal article
- Publication Details
- Algebras and representation theory, Vol.16(5), pp.1333-1347
- DOI
- 10.1007/s10468-012-9359-x
- ISSN
- 1386-923X
- eISSN
- 1572-9079
- Language
- English
- Date published
- 12/20/2011
- Academic Unit
- Mathematics
- Record Identifier
- 9983985919202771
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