A realization of elliptic Lie algebras of type F4(2,2) by the Ringel-Hall approach

JOURNAL OF ALGEBRA

卷:350

Article

Chen, Zhengxin²  Lin, Yanan¹ 

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Peoples R China

关键词: Elliptic Lie algebra of type F-4((2,2));    Tubular algebra of type T(3,3,3);    Frobenius morphism;    Root category;    Ringel-Hall algebra;   

DOI  :  10.1016/j.jalgebra.2011.10.008

来源: Elsevier

【 摘 要 】

This article is to study relations between an elliptic Lie algebra g of type F-4((2,2)) and the F-fixed point algebra A(F) of a tubular algebra A of type T(3,3,3) under a Frobenius morphism F. Using the explicit structure of the root category of the F-fixed point algebra A(F). we prove that the elliptic Lie algebra g of type F-4((2,2)) is isomorphic to the Ringel-Hall Lie algebra of the root category of the F-fixed point algebra A(F). (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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