𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spin Models and Bose–Mesner Algebras

✍ Scribed by Kazumasa Nomura

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
133 KB
Volume
20
Category
Article
ISSN
0195-6698

No coin nor oath required. For personal study only.

✦ Synopsis

Spin models were introduced by Vaughan Jones to construct invariants of knots and links (Pac. J. Math. 137 (1989), 311-336). This paper summarizes recent (1995)(1996)(1997) results on spin models in connection with Bose-Mesner algebras.

📜 SIMILAR VOLUMES

Hopf Algebras and Subfactors Associated
Hopf Algebras and Subfactors Associated to Vertex Models
✍ Teodor Banica 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 348 KB

If H is a Hopf algebra whose square of the antipode is the identity, v # L(V) H is a corepresentation, and ?: H Ä L(W) is a representation, then u=(id ?) v satisfies the equation (t id) u &1 =((t id) u) &1 of the vertex models for subfactors. A universal construction shows that any solution u of thi

Deformed Heisenberg Algebra, Fractional
Deformed Heisenberg Algebra, Fractional Spin Fields, and Supersymmetry without Fermions
✍ Mikhail S. Plyushchay 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 385 KB

Within a group-theoretical approach to the description of (2+1)-dimensional anyons, the minimal covariant set of linear differential equations is constructed for the fractional spin fields with the help of the deformed Heisenberg algebra (DHA), [a & , a + ]=1+&K, involving the Klein operator K, [K,