斜环上酉Lie代数的Fermion表示
Fermionic representations of unitary Lie algebras coordinated by skew rings
Abstract
假设sigma为一个任意Abel群上的特征,以及R_sigma为对应于特征sigma的斜Laurent多项式环.本文构造了坐标代数为R_sigm; a的Allison-Faulkner型酉Lie代数的Fermion表示,并确定了该表示的不可约分支. Let sigma be a character from an abelian group to C~*, and let R_sigma; be the skew Laurent polynomial ring associated to it. In this paper, the; fermionic representation of Allison-Faulkner type unitary Lie algebra; coordinated by R_sigma is constructed and its irreducible components are; determined explicitly.