On tensor categories of Lie type \(E_{N}, N\neq 9\)
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Publication:1399566
DOI10.1016/S0001-8708(02)00048-8zbMath1038.17009MaRDI QIDQ1399566
Publication date: 30 July 2003
Published in: Advances in Mathematics (Search for Journal in Brave)
quantum groupbraid representationKac-Moody Lie algebraquantized enveloping algebrasemisimple Lie algebratensor categoryLittelmann path\(R\)-matrix.Brauer centraliser algebratype \(E_N\)
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
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Braid rigidity for path algebras, A quantum analogue of the first fundamental theorem of classical invariant theory, Diagrammatics for F4$F_4$, Rational R-matrices, centralizer algebras and tensor identities for e6 and e7 exceptional families of Lie algebras, A note on tensor categories of Lie type \(E_{9}\), McKay centralizer algebras
Cites Work
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- Algebraic structures on modules of diagrams
- A ribbon Hopf algebra approach to the irreducible representations of centralizer algebras: The Brauer, Birman-Wenzl, and type A Iwahori-Hecke algebras
- Solvable lattice models related to the vector representation of classical simple Lie algebras
- Hecke algebras of type \(A_ n\) and subfactors
- Invariant theory of \(G_ 2\) and \(Spin_ 7\)
- The Kauffman polynomial of links and representation theory
- Yang-Baxter equation and representation theory. I
- Semisimple and modular categories from link invariants
- \(q\)-centralizer algebras for spin groups
- Paths and root operators in representation theory
- 𝐶* tensor categories from quantum groups
- Braids, Link Polynomials and a New Algebra
- On an inner product in modular tensor categories
- Introduction to quantum groups
- Representations of the braid group \(B_3\) and of \(\text{SL}(2,\mathbb{Z})\).