A formula for the 𝑅-matrix using a system of weight preserving endomorphisms

DOI10.1090/S1088-4165-2010-00378-7zbMath1233.17013arXiv0711.4853OpenAlexW2116006854MaRDI QIDQ3068944

Peter Tingley

Publication date: 21 January 2011

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4853

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (2)

Universal K-matrices for quantum Kac-Moody algebras ⋮ Knot invariants and higher representation theory

Cites Work

• Unnamed Item
• q-Weyl group and a multiplicative formula for universal R-matrices
• Quantum Weyl group and a multiplicative formula for the R-matrix of a simple Lie algebra
• The crystal commutor and Drinfeld's unitarized \(R\)-matrix
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Crystals and coboundary categories
• Introduction to quantum groups

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