A generalised Hopf algebra for solitons.
A new rational free-fermion solution of the Yang-Baxter equation.
A note on coalgebra gauge theory
A generalisation of quantum principal bundles in which a quantum structure group is replaced by a coalgebra is proposed.
À propos du calcul différentiel sur les groupes quantiques
A -analogue of the centralizer construction and skew representations of the quantum affine algebra.
A -representation with no quantum symmetric algebra
We show by explicit calculations in the particular case of the 4-dimensional irreducible representation of that it is not always possible to generalize to the quantum case the notion of symmetric algebra of a Lie algebra representation.
Addendum to "Generalized radical rings, unknotted biquandles, and quantum groups" (Colloq. Math. 109 (2007), 85-100)
Affine Birman-Wenzl-Murakami algebras and tangles in the solid torus
The affine Birman-Wenzl-Murakami algebras can be defined algebraically, via generators and relations, or geometrically as algebras of tangles in the solid torus, modulo Kauffman skein relations. We prove that the two versions are isomorphic, and we show that these algebras are free over any ground ring, with a basis similar to a well known basis of the affine Hecke algebra.
Algebraic topology foundations of supersymmetry and symmetry breaking in quantum field theory and quantum gravity: a review.
An Analogue of the Classical Yang-Baxter Equation for General Algebraic Structures.
An idempotent for a Jordanian quantum complex sphere
A new Jordanian quantum complex 4-sphere together with an instanton-type idempotent is obtained as a suspension of the Jordanian quantum group .
An infinite torus braid yields a categorified Jones-Wenzl projector
A sequence of Temperley-Lieb algebra elements corresponding to torus braids with growing twisting numbers converges to the Jones-Wenzl projector. We show that a sequence of categorification complexes of these braids also has a limit which may serve as a categorification of the Jones-Wenzl projector.
Anyonic Groups
Asymmetric twin representation: the transfer matrix symmetry.