Quasitriangular Hopf algebra
id:
quasitriangular-hopf-algebra-249-10759129
title:
Quasitriangular Hopf algebra
text:
In mathematics, a Hopf algebra, H, is quasitriangular if there exists an invertible element, R, of H ⊗ H such that where R 12 = ϕ 12 ( R ) , R 13 = ϕ 13 ( R ) , and R 23 = ϕ 23 ( R ) , where ϕ 12 : H ⊗ H → H ⊗ H ⊗ H , ϕ 13 : H ⊗ H → H ⊗ H ⊗ H , and ϕ 23 : H ⊗ H → H ⊗ H ⊗ H , are algebra morphisms determined by R is called the R-matrix. As a consequence of the properties of quasitriangularity, the R-matrix, R, is a solution of the Yang–Baxter equation (and so a module V of H can be used to determ
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https://en.wikipedia.org/wiki/Quasitriangular_Hopf_algebra
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2023-09-19T18:29:46Z
main entity:
{"identifier":"Q7269541","url":"https://www.wikidata.org/entity/Q7269541"}
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