
Journal of Lie Theory 27 (2017), No. 2, 545554 Copyright Heldermann Verlag 2017 A New Z_{3}Graded Quantum Group Salih Celik Dept. of Mathematics, Yildiz Technical University, 34210 Davutpasa  Esenler, Istanbul, Turkey sacelik@yildiz.edu.tr [Abstractpdf] \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: Z3graded exterior algebra, Z3graded quantum group, Z3graded Hopf algebra. MSC: 17B37, 81R60 [ Fulltextpdf (255 KB)] for subscribers only. 