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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

Yoji Yoshii
Iwate University, 3-18-33 Ueda, Morioka, Iwate 020-8550, Japan

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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