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Let Q be a finite quiver and G ⊆ Aut(kQ) a finite abelian group. Assume that Q＾ and T are the generalized Mckay quiver and the valued graph corresponding to (Q,G) respectively. In this paper we dis- cuss the relationship between indecomposable Q＾ -representations and the root system of Kac-Moody algebra g(T). Moreover, we may lift G to G ⊆ Aut(g(Q＾)) such that g(T) embeds into the fixed point algebra g(Q＾)G and g(Q＾)G as a g(T)-module is integrable.
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참고문헌 (13)
참고문헌 신청
A. Hubery / 2002 / Representations of quiver respecting a quiver automorphism and a of Kac / 박사 / Leeds Univeraity
A. Hubery / 2004 / Quiver representations respecting a quiver automorphism: a generalisation of a theorem of Kac / J. London Math. Soc 69 (1) : 79 ~ 96
B. Deng / 2008 / Finite Dimensional Algebras and Puantum Groups / Math. Surveys and Monographs 150
B. Hou / 2011 / Skew group algebras of deformed preprojective algebras / J. Algebra 332 : 209 ~ 228
I. Assem / 2006 / Elements of Representation Theory of Asso-ciative Algebras. Vol. 1 / Cambridge University Press
A. Hubery / 2004 / Quiver representations respecting a quiver automorphism: a generalisation of a theorem of Kac / J. London Math. Soc 69 (1) : 79 ~ 96
B. Deng / 2008 / Finite Dimensional Algebras and Puantum Groups / Math. Surveys and Monographs 150
B. Hou / 2011 / Skew group algebras of deformed preprojective algebras / J. Algebra 332 : 209 ~ 228
I. Assem / 2006 / Elements of Representation Theory of Asso-ciative Algebras. Vol. 1 / Cambridge University Press
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