Journal of Lie Theory

no. 2
A New Z3-Graded Quantum Group
Journal of Lie Theory, Volume 27 (2017) no. 2, pp. 545-554
\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.
DOI: 10.5802/jolt.958
Classification: 17B37, 81R60
Keywords: Z-3-graded exterior algebra, Z-3-graded quantum group, Z-3-graded Hopf algebra 
@article{JOLT_2017_27_2_a11,
     author = {S. Celik},
     title = {A {New} {Z\protect\textsubscript{3}-Graded} {Quantum} {Group}},
     journal = {Journal of Lie Theory},
     pages = {545--554},
     year = {2017},
     volume = {27},
     number = {2},
     doi = {10.5802/jolt.958},
     zbl = {1412.17008},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.958/}
}
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S. Celik. A New Z3-Graded Quantum Group. Journal of Lie Theory, Volume 27 (2017) no. 2, pp. 545-554. doi: 10.5802/jolt.958

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