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Journal of Lie Theory 27 (2017), No. 2, 545--554
Copyright Heldermann Verlag 2017

A New Z3-Graded Quantum Group

Salih Celik
Dept. of Mathematics, Yildiz Technical University, 34210 Davutpasa - Esenler, Istanbul, Turkey


\def\Z{{\mathbb Z}} We introduce a ${\Z}_3$-graded version of the exterior (Grassmann) algebra with two generators. Using this object we obtain a new ${\Z}_3$-graded quantum group denoted by ${\cal O}(\widetilde{GL}_q(2))$ and discuss some of its properties.

Keywords: Z-3-graded exterior algebra, Z-3-graded quantum group, Z-3-graded Hopf algebra.

MSC: 17B37, 81R60

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