Journal of Lie Theory 27 (2017), No. 2, 469--499
Copyright Heldermann Verlag 2017
Reduced Hyperbolic Root Systems of Rank 2
Masaya Tomie
Morioka University, 808 Sunagome, Takizawa, Iwate 020-0694, Japan
tomie@morioka-u.ac.jp
Yoji Yoshii
Iwate University, 3-18-33 Ueda, Morioka, Iwate 020-8550, Japan
yoshii@iwate-u.ac.jp
We define hyperbolic root systems and classify the special case, namely, reduced hyperbolic root systems of rank 2. We also determine the Weyl groups of the root systems.
Keywords: Generalized root system, hyperbolic root system.
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