Counting the number of indecomposable representations and a q-analogue of the Weyl-Kac denominator identity of type $$ \tilde B_n $$期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Counting the number of indecomposable representations and a q-analogue of the Weyl-Kac denominator identity of type $$ \tilde B_n $$

Authors:	Abdukadir Obul YaLi Pang

Institution:	(1) College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, China;(2) Department of Mathematics, East China Normal University, Shanghai, 200062, China

Abstract:	By using Frobenius maps and F-stable representations, we count the number of isomorphism classes of indecomposable representations with the fixed dimension vector of a species of type $\tilde B_n$ over a finite field, first, and then, as an application, give a q-analogue of the Weyl-Kac denominator identity of type $\tilde B_n$ . This work was partially supported by the Doctoral Program of Higher Education (Grant No. 20030027002)

Keywords:	Frobenius map F-stable representation quiver with automorphism denominator identity
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