Counting quiver representations over finite fields via graph enumeration
نویسندگان
چکیده
منابع مشابه
Counting Quiver Representations over Finite Fields Via Graph Enumeration
Let Γ be a quiver on n vertices v1, v2, . . . , vn with gij edges between vi and vj , and let α ∈ Nn. Hua gave a formula for AΓ(α, q), the number of isomorphism classes of absolutely indecomposable representations of Γ over the finite field Fq with dimension vector α. Kac showed that AΓ(α, q) is a polynomial in q with integer coefficients. Using Hua’s formula, we show that for each integer s ≥ ...
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Article history: Received 25 August 2014 Received in revised form 10 September 2014 Accepted 18 September 2014 Available online 4 November 2014 Communicated by H. Stichtenoth MSC: 11G20 10D20 14G15 14H10
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2009
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2009.04.032