A Quantum Space and Some Associated Quantum Groups

Yıl 2018, Cilt: 22 Sayı: 2, 464 - 469, 15.08.2018

Muttalip Özavşar

Öz

In the present paper, we first introduce a quantum $n$-space on which the algebra of coordinates is $\eta$-commutative. Further, it is shown that there are  some $\sigma$-twisted derivations acting on this algebra, and the algebra of such derivations is a quantum group. Morever, we show that a bicovariant differential calculus on this space can be constructed by using $\sigma$-twisted derivations. Finally, the quantum Lie algebra is obtained by using this bicovariant differential calculus.

Anahtar Kelimeler

Quantum spaces, Quantum groups; Derivation algebras

Kaynakça

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