INVARIANT TENSORS AND DIAGRAMS

DOI10.1142/S0217751X03017968zbMath1080.18501MaRDI QIDQ3370190

Bruce W. Westbury

Publication date: 7 February 2006

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Mathematics Subject Classification ID

Related Items (12)

Chern-Simons theory with the exceptional gauge group as a refined topological string ⋮ On partition functions of refined Chern-Simons theories on \(S^3\) ⋮ Uniqueness of universal dimensions and configurations of points and lines ⋮ Riordan trees and the homotopy \(sl_{2}\) weight system ⋮ On linear resolvability of universal quantum dimensions ⋮ On universal quantum dimensions ⋮ Universal volume of groups and anomaly of Vogel's symmetry ⋮ Exceptionally simple integrated correlators in \(\mathcal{N} = 4\) supersymmetric Yang-Mills theory ⋮ Diagrammatics for F4$F_4$ ⋮ Rational R-matrices, centralizer algebras and tensor identities for e6 and e7 exceptional families of Lie algebras ⋮ On (ad)n(X2)k series of universal quantum dimensions ⋮ X ₂ series of universal quantum dimensions

Cites Work

• Unnamed Item
• Principal specializations of the classical groups and \(q\)-analogs of the dimension formulas
• A plactic algebra for semisimple Lie algebras
• A ribbon Hopf algebra approach to the irreducible representations of centralizer algebras: The Brauer, Birman-Wenzl, and type A Iwahori-Hecke algebras
• Hecke algebra representations of braid groups and link polynomials
• Coherence theorems via knot theory
• Web bases for \(\text{sl}(3)\) are not dual canonical
• On the exceptional series, and its descendants
• Integrable aspects of the scaling \(q\)-state Potts models. I: Bound states and bootstrap closure
• Ribbon graphs and their invariants derived from quantum groups
• Category theoretic representations of knotted graphs in \(S^ 3\)
• Braided compact closed categories with applications to low dimensional topology
• Triality, exceptional Lie algebras and Deligne dimension formulas.
• Cellular algebras
• Spiders for rank 2 Lie algebras
• The correspondences of infinitesimal characters for reductive dual pairs in simple Lie groups
• Invariants of 3-manifolds via link polynomials and quantum groups
• Lie groups in the foundations of geometry
• A new polynomial invariant of knots and links
• Dimensions of irreducible representations of the classical Lie groups
• ON THE G₂ LINK INVARIANT
• THE QUANTUM G₂ LINK INVARIANT
• Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
• AN ERRATUM TO "ON THE G₂ LINK INVARIANT"
• Minimal representations of exceptional 𝑝-adic groups
• R-matrices and the magic square
• Representations of the exceptional and other Lie algebras with integral eigenvalues of the Casimir operator
• The octonions
• The Dimensions of Irreducible Tensor Representations of the Orthogonal and Symplectic Groups
• Isoperimetric inequalities for sectors on surfaces
• Representations of the braid group \(B_3\) and of \(\text{SL}(2,\mathbb{Z})\).

This page was built for publication: INVARIANT TENSORS AND DIAGRAMS