Generalized reflection root systems

JOURNAL OF ALGEBRA

卷:491

Article

Gorelik, Maria¹  Shaviv, Ary¹ 

[1] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel

关键词: Root systems;    Lie superalgebras;   

DOI  :  10.1016/j.jalgebra.2017.08.010

来源: Elsevier

【 摘 要 】

We study a combinatorial object, which we call a GRRS (generalized reflection root system); the classical root systems and GRSs introduced by V. Serganova are examples of finite GRRSs. A GRRS is finite if it contains a finite number of vectors and is called affine if it is infinite and has a finite minimal quotient. We prove that an irreducible GRRS containing an isotropic root is either finite or affine; we describe all finite and affine GRRSs and classify them in most of the cases. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free