A quotient of the braid group related to pseudosymmetric braided categories
Panaite, Florin · Staic, Mihai D.
الأصل · EN
Motivated by the recently introduced concept of a pseudosymmetric braided monoidal category, we define the pseudosymmetric group PSₙ, as the quotient of the braid group Bₙ by the relations σᵢσᵢ₊₁⁻¹σᵢ=σᵢ₊₁σᵢ⁻¹σᵢ₊₁, with 1≤ i≤ n-2. It turns out that PSₙ is isomorphic to the quotient of Bₙ by the commutator subgroup [Pₙ, Pₙ] of the pure braid group Pₙ (which amounts to saying that [Pₙ, Pₙ] coincides with the normal subgroup of Bₙ generated by the elements [σᵢ², σᵢ₊₁²], with 1≤ i≤ n-2), and that PSₙ is a linear group.
الترجمة العربية
لا توجد ترجمة عربية لهذا البحث بعد. كن أوّل من يطلبها: تستغرق ثوانيَ معدودة، وتُحفظ النتيجة لكل قارئ قادم.