2014/02/25 by Jiarui Fei, Fei, Jiarui
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Algebra and Geometry #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1402.6021
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]^*, where MG is the associated algebraic monoid of G. We use QG-representations to construct G-invariant representations of Q. As an application, we construct algebraic semi-invariants on the quiver representation spaces from those G-invariant representations.