POISSON HOPF STRUCTURE INDUCED BY THE UNIVERSAL ENVELOPING ALGEBRA OF A GRADED LIE ALGEBRA

• 발행기관: 충청수학회
• 저자명: Sei Qwon Oh Mi ran Park
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 1, 177~184쪽, 전체 8쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.03.30

영문 초록

Let G be an abelian group,  an antisymmetric bicharacter on G and g a (G, )-Lie algebra. Here we give a complete proof for that the associated graded algebra determined by a natural filtration in the universal enveloping algebra U(g) is a (G, )-Poisson Hopf algebra.

목차

1. Introduction

2. Universal enveloping algebras of graded Lie algebras

References