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A Quantum Space and Some Associated Quantum Groups

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dc.creator ÖZAVŞAR, Muttalip
dc.date 2018-08-15T00:00:00Z
dc.date.accessioned 2019-07-09T11:58:55Z
dc.date.available 2019-07-09T11:58:55Z
dc.identifier http://dergipark.org.tr/sdufenbed/issue/38975/456327
dc.identifier
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/46041
dc.description 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.
dc.format application/pdf
dc.publisher Süleyman Demirel University
dc.publisher Süleyman Demirel Üniversitesi
dc.relation http://dergipark.org.tr/download/article-file/528924
dc.source Volume: 22, Issue: 2 464-469 en-US
dc.source 1308-6529
dc.subject Quantum spaces,Quantum groups; Derivation algebras
dc.title A Quantum Space and Some Associated Quantum Groups en-US
dc.type info:eu-repo/semantics/article


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