Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414368 | Journal of Algebra | 2016 | 22 Pages |
Abstract
Let G be a reductive group acting on a path algebra kQ as automorphisms. We assume that G admits a graded polynomial representation theory, and the action is polynomial. We describe the quiver QG of the smash product algebra kQ#k[MG]â, where MG is the associated algebraic monoid of G. We use QG-representations to construct coherently G-invariant modules of Q. As an application, we construct algebraic semi-invariants on the quiver representation spaces from those G-invariant modules.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jiarui Fei,