A Primer of Hopf Algebras

By Pierre Cartier. 2007

199 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/eeff6e80b92eba4b4a126c373b546fe27b48311a

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. Victor Reiner
3. Yvain Bruned
4. Martin Hairer
5. Darij Grinberg
6. Bob Coecke
7. Massimiliano Gubinelli

In Discrete Mathematics and Combinatorics

1. Victor Reiner
2. Ross Duncan
3. Darij Grinberg
4. Bob Coecke

In Geometry and Topology

1. Victor Reiner
2. Ross Duncan
3. Yvain Bruned
4. Martin Hairer
5. Darij Grinberg
6. Bob Coecke

Citations in the corpus

• On the universal enveloping algebra of a Lie algebroid (2010, unknown): “[1, 11, 19, 21]).”
• Algebraic renormalisation of regularity structures (2016, background): “For more details on the theory of coalgebras, bialgebras, Hopf algebras and comodules we refer the reader to [6,47].”
• Interacting quantum observables: categorical algebra and diagrammatics (2009, background): “ove the scalars from the denition of a scaled bialgebra and adjoin the equation Z y X = 1 I { which is trivial anyway when taken ‘up to a scalar’ { then we obtain the usual notion of a bialgebra [13, 50, 73]. Theorem 9.15. Each scaled bialgebra satises the Hopf law. Proof. See the derivation of the”
• Hopf Algebras in Combinatorics (2014, background): “The concept of a Hopf algebra crystallized out of algebraic topology and the study of algebraic groups in the 1940s and 1950s (see [8] and [24] for its history).”