Braids, \(q\)-binomials, and quantum groups

DOI10.1006/aama.1998.0585zbMath0940.20043OpenAlexW2050638249MaRDI QIDQ1271152

Marcelo Aguiar

Publication date: 14 February 1999

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.1998.0585

zbMATH Keywords

braid groupsquantum groups\(q\)-identitiesquasi-triangular Hopf algebrasbraid identitiesmonoidal representations

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Braid groups; Artin groups (20F36)

Related Items

Braidings of tensor spaces.

Cites Work

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• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Bilinear form of real configuration of hyperplanes
• Two element lattice permutation numbers and their \(q\)-generalization
• Rings with several objects
• Observations on group rings
• Duality for base-changing morphisms of vector bundles, modules, Lie algebroids and Poisson structures
• FROM LARGE CARDINALS TO BRAIDS VIA DISTRIBUTIVE ALGEBRA
• A characterization of the borel-like subalgebras of quantum enveloping algebras
• On the Foundations of Combinatorial Theory IV Finite Vector Spaces and Eulerian Generating Functions
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• Introduction to quantum groups