Introduction
Hopf algebras and
ribbon categories as basic structures
Hopf algebras
and ribbon categories very briefly
Algebras,
coalgebras, bialgebras, and related structures
Tensor
categories
Axiomatic approach
to Smatrix based on the notion of quantum category
Δ andμand
the axioms eliminating loops
The physical
interpretation of nontrivial braiding and quasiassociativity
Generalizing the
notion of bialgebra structures at the level of configuration
space
Ribbon category
as a fundamental structure?
Minimal models
and TGD
Some
examples of bialgebras and quantum groups
Simplest
bialgebras
Quantum group
U_{q}(sl(2))
General
semisimple quantum group
Quantum affine
algebras
