Indecomposable Jordan types of Loewy length 2

JOURNAL OF ALGEBRA

卷:556

Article

Bissinger, Daniel¹ 

[1] Christian Albrechts Univ Kiel, Ludeleig Meyn Str 4, D-24098 Kiel, Germany

关键词: Kronecker algebra;    Constant Jordan type;    Covering theory;   

DOI  :  10.1016/j.jalgebra.2020.03.010

来源: Elsevier

【 摘 要 】

Let k be an algebraically closed field, char(k) = p >= 2 and E-r be a elementary abelian p-group of rank r >= 2. Let (c, d) is an element of N-2. We show that there exists an indecomposable module of constant Jordan type [1](c) [2](d) and Loewy length 2 if and only if q(Gamma r) (d, d+ c) <= 1 and c >= r -1, where q(Gamma r) (x,y) := x(2) +y(2)-rxy denotes the Tits form of the generalized Kronecker quiver Since p > 2 and constant Jordan type [1](c)[2](d) imply Loewy length <= 2, we get in this case the full classification of Jordan types [1](c) [2](d) that arise from indecomposable modules. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

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