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arXiv · 1511.02614

A quantum space and some associated quantum groups

Muttalip Özavşar
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Abstract

In this paper, we first introduce a quantum $n$-space with a cocommutative Hopf algebra structure. Then it is shown that to this quantum $n$-space there corresponds a derivation algebra of $σ$-twisted derivations related to some algebra automorphisms $σ$ on the quantum $n$-space. Furthermore, we show that this derivation algebra is a noncommutative and non-cocommutative Hopf algebra, namely, a quantum group. Morever, for this the quantum $n$-space, we show how to construct a bicovariant differential calculus related to the derivation algebra.

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Muttalip Özavşar. 2015-11-09. A quantum space and some associated quantum groups. https://arxiv.org/abs/1511.02614

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