On generators and relations for certain involutory subalgebras of kac-moody lie algebras*
作者:
S. Berman,
期刊:
Communications in Algebra
(Taylor Available online 1989)
卷期:
Volume 17,
issue 12
页码: 3165-3185
ISSN:0092-7872
年代: 1989
DOI:10.1080/00927878908823899
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
We find generators and relations for those subalgebras of Kac-Moody Lie algebras that are the fixed point algebras of certain involutions. Specifically the involution must involve the Cartan involution which interchanges the positive and negative generators. We go on to apply these results to the G.I.M. algebras, which were introduced as natural generalizations of Kac-Moody algebras by P. Slodowy. We show such algebras are isomorphic to subalgebras of Kac-Moody algebras. From this we are able to derive someinteresting interrelations between certain Kac-Moody algebras.
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