Quantum Groups

1993/11/11 by M. Ruiz--Altaba · 12 citations
Physics and Astronomy · #hep-th #cond-mat #hep-ph #nlin.SI #solv-int

paper · pdf · doi:10.1063/1.46853

37 pages, plain.tex

arxiv created 1993/11/11 · arxiv updated 2015/06/26

Abstract

These notes correspond rather accurately to the translation of the lectures given at the Fifth Mexican School of Particles and Fields, held in Guanajuato, Gto., in December~1992. They constitute a brief and elementary introduction to quantum symmetries from a physical point of view, along the lines of the forthcoming book by C. Gómez, G. Sierra and myself.

Cited by

• Cartier integration of infinitesimal 2-braidings via 2-holonomy of the CMKZ 2-connection, II: The pentagonator
• The q-extension of iterated integrals and nested sums in quantum field theory
• Yangian Doubles and off-Shell Bethe Vectors
• Drinfeld super Yangian of the exceptional Lie superalgebra D(2,1;λ)
• Nilpotency, Solvability and Frattini Theory for Poisson algebras
• Module algebra structures of nonstandard quantum group X_q(A₁) on \C_q[x,y,z]
• Dick and Liz Askey's visit to U.S.S.R. in 1987, and how the discrete Askey scheme also originated in Russia
• Manin triples, bialgebras and Yang-Baxter equation of A₃-associative algebras
• BiHom-four-angle Hopf modules and BiHom-Yetter-Drinfel'd modules
• Quasi-triangular and factorizable perm bialgebras
• Relations between multiple zeta values and delta values from Drinfeld's associator series
• The Quantum Double of Hopf Algebras Realized via Partial Dualization and the Tensor Category of Its Representations