Journal article
Total Stability Functions for Type A Quivers
Algebras and representation theory, Vol.25(4), pp.835-845
03/25/2021
DOI: 10.1007/s10468-021-10049-7
Abstract
For a quiver Q of Dynkin type A(n), we give a set of n - 1 inequalities which are necessary and sufficient for a linear stability condition (a.k.a. central charge) Z: K-0(Q) -> C to make all indecomposable representations stable. We furthermore show that these are a minimal set of inequalities defining the space TS(Q) of total stability conditions, considered as an open subset of R-Q0 x (R->0)(Q0). We then use these inequalities to show that each fiber of the projection of TS(Q) to (R->0)(Q0) is linearly equivalent to R x R->0(Q1).
Details
- Title: Subtitle
- Total Stability Functions for Type A Quivers
- Creators
- Ryan Kinser - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Algebras and representation theory, Vol.25(4), pp.835-845
- DOI
- 10.1007/s10468-021-10049-7
- ISSN
- 1386-923X
- eISSN
- 1572-9079
- Publisher
- SPRINGER
- Number of pages
- 11
- Grant note
- 636534 / Simons Foundation
- Language
- English
- Date published
- 03/25/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984240770302771
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