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Weyl Groups of Some Kac–Moody Algebras

✍ Scribed by Kaiming Zhao; Caihui Lu; Chang-an Liu

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
160 KB
Volume
179
Category
Article
ISSN
0021-8693

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✦ Synopsis

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.

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Reflections of Root Lattices for Kac–Moo
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✍ Kaiming Zhao 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 135 KB

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.

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