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- W1638005575 abstract "Let G be a Lie group and Q a quiver with relations. In this paper, we define G-valued representations of Q which directly generalize G-valued representations of finitely generated groups. Although as G-spaces, the G-valued quiver representations are more general than G-valued representations of finitely generated groups, we show by collapsing arrows that their quotient spaces are equivalent. We then establish a general criterion for the moduli of G-valued quiver representations with relations to admit a strong deformation retraction to a compact quotient by pinching vertices on the quiver. This provides two different generalizations of main results in our previous work. Lastly, we establish quiver theoretic conditions for the moduli spaces of GL(n,C) and SL(n,C)-valued quiver representations to embed into traditional moduli spaces of quiver representations having constant dimension vector." @default.
- W1638005575 created "2016-06-24" @default.
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- W1638005575 date "2013-05-01" @default.
- W1638005575 modified "2023-10-16" @default.
- W1638005575 title "In the Tradition of Ahlfors-Bers, VI" @default.
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- W1638005575 doi "https://doi.org/10.1090/conm/590" @default.
- W1638005575 hasPublicationYear "2013" @default.
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