𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Reflections of Root Lattices for Kac–Moody Algebras

✍ Scribed by Kaiming Zhao


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
135 KB
Volume
180
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


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.


📜 SIMILAR VOLUMES


Weyl Groups of Some Kac–Moody Algebras
✍ Kaiming Zhao; Caihui Lu; Chang-an Liu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 160 KB

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.