Geodesic
Reduced Hyperbolic Root Systems of Rank 2
Masaya Tomie1 ; Yoji Yoshii2
1Morioka University, 808 Sunagome, Takizawa, Iwate 020-0694, Japan
2Iwate University, 3-18-33 Ueda, Morioka, Iwate 020-8550, Japan
Journal of Lie Theory, Tome 27 (2017) no. 2, pp. 469-499

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Mots-clés : Generalized root system, hyperbolic root system

Masaya Tomie  1   ; Yoji Yoshii  2

1 Morioka University, 808 Sunagome, Takizawa, Iwate 020-0694, Japan
2 Iwate University, 3-18-33 Ueda, Morioka, Iwate 020-8550, Japan 
Masaya Tomie; Yoji Yoshii. Reduced Hyperbolic Root Systems of Rank 2. Journal of Lie Theory, Tome 27 (2017) no. 2, pp. 469-499. http://geodesic.mathdoc.fr/item/JOLT_2017_27_2_a8/
@article{JOLT_2017_27_2_a8,
     author = {Masaya Tomie and Yoji Yoshii},
     title = {Reduced {Hyperbolic} {Root} {Systems} of {Rank} 2},
     journal = {Journal of Lie Theory},
     pages = {469--499},
     year = {2017},
     volume = {27},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2017_27_2_a8/}
}
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