Review Work on Splints of Classical Root System and Related Studies on Untwisted Affine Kac-Moody Algebra

摘要

The thesis addresses and makes a review work on a new term splint introduced by David A. Richter and classifies the splints of the classical root systems. Further, a related studies on affine Kac-Moody algebras and discuss the roots of untwisted affine Kac-Moody algebras which will be helpful in determining the splints of Kac-Moody algebras and classified the splints of type B_{1}^{n} and C_{1}^{n}.