有限域上tame遗传代数与广义Kac-Moody李代数

Tame Hereditary Algebra and Generalized Kac-Moody Algebra Over Finite Fields

设为有限域.用Ringel-Hall代数的方法,在tame型遗k-传代数的根范畴上构造李代数g,证明g同构于一类广义Kac-Moody代数.

Let k be a finite field, use the method of Ringel-Hall algebra to construct a Lie algebra g by the root category of a tame hereditary k-algebra, and prove that g is isomorphic to the eorresponding generalized Kac-Moody algebra.