Quantum groups: a path to current algebra

By Ross Street. 2007

112 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/934938af01fc3570d9df9232e01fe546564e86c3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Ross Duncan
2. Bob Coecke
3. É. O. Paquette

In Geometry and Topology

1. Ross Duncan
2. É. O. Paquette
3. Bob Coecke

In Mathematical Physics

1. Ross Duncan
2. Bob Coecke
3. É. O. Paquette
4. Miriam Backens

Citations in the corpus

• Categories for the practising physicist (2009, background): “An excellent textbook on this topic is [65].”
• Interacting quantum observables: categorical algebra and diagrammatics (2009, background): “If we remove the scalars from the definition of a scaled bialgebra and adjoin the equation Z ◦ X = 1I – which is trivial anyway when taken ‘up to a scalar’ – then we obtain the usual notion of a bialgebra [7,41].”
• On Categories of Monoids, Comonoids, and Bimonoids (2008, unknown): “[12]) that every monoidal functor F : C → C′ induces a functor F̂ : MonC → MonC′ by F̂ (C,m, e) = (FC,Fm,Fe).”
• Interacting Quantum Observables (2008, background): “Surprisingly the relevant equations are almost exactly those of a bialgebra [13], differing only by scalar factors.”
• Quantum picturalism (2009, background): “(9) has also appeared in the study of so-called bialgebras, of which quantum groups are special examples [58].”