A Characterization of Generalized Kac-Moody Algebras
✍ Scribed by R.E. Borcherds
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 362 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0021-8693
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📜 SIMILAR VOLUMES
In this paper we prove a lemma about the Weyl groups of Kac᎐Moody algebras and decompose the Weyl group of some Kac᎐Moody algebras into a semi-direct product of two subgroups which are Coxeter groups.
In [1], Borcherds defined generalized Kac-Moody (denoted by GKM for short) algebras and gave a character formula for lowest weight modules of these algebras. In this paper we give a character formula for lowest weight modules of GKM superalgebras. For any standard result about contragredient superal
In the present paper we determine all the elements in the root lattices of symmetrizable Kac᎐Moody algebras whose reflections preserve the root systems. Also we discuss elements in the root lattices whose reflections preserve the root lattices.