Virtual Extension of Temperley--Lieb Algebra

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dc.creatorZhang, Yong
dc.creatorKauffman, Louis H.
dc.creatorGe, Mo-Lin
dc.date2006-10-22
dc.date.accessioned2026-07-07T07:28:29Z
dc.date.available2026-07-07T07:28:29Z
dc.descriptionThe virtual knot theory is a new interesting subject in the recent study of low dimensional topology. In this paper, we explore the algebraic structure underlying the virtual braid group and call it the virtual Temperley--Lieb algebra which is an extension of the Temperley--Lieb algebra by adding the group algebra of the symmetrical group. We make a connection clear between the Brauer algebra and virtual Temperley--Lieb algebra, and show the algebra generated by permutation and its partial transpose to be an example for the virtual Temperley--Lieb algebra and its important quotients.
dc.description10 pages, latex
dc.identifierhttps://arxiv.org/abs/math-ph/0610052
dc.identifierhttp://arxiv.org/abs/math-ph/0610052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117748
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleVirtual Extension of Temperley--Lieb Algebra
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