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math.GR2008
Markov and Artin normal form theorem for braid groups
L. A. Bokut, V. V. Chaynikov, K. P. Shum
In this paper we will present the results of Artin--Markov on braid groups by using the Groebner--Shirshov basis. As a consequence we can reobtain the normal form of Artin--Markov-…
math.RA2008★ 2 cited
Rosso-Yamane Theorem on PBW basis of
Yuqun Chen, Hongshan Shao, K. P. Shum
Let be the Drinfeld-Jimbo quantum group of type . In this paper, by using Groebner-Shirshov bases, we give a simple (but not short) proof of the Rosso-Yamane Theore…
math.RA2008
Classification of 5-dimensional MD-algebras having commutive derived ideals
Le Anh Vu, Kar Ping Shum
In this paper, we study a subclass of the class of MD-algebras, i.e., the class of solvable real Lie algebras such that the K-orbits of its corresponding connected and simply conne…