A realization of elliptic Lie algebras of type F-4((2,2)) by the Ringel-Hall approach

作者：Chen, Zhengxin; Lin, Yanan^*

来源：Journal of Algebra, 2012, 350(1): 108-131.

DOI：10.1016/j.jalgebra.2011.10.008

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

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).

• 出版日期2012-1-15
• 单位福建师范大学; 厦门大学