Representation Theory of Hopf Algebras

Representation Theory Of Hopf Algebras

In abstract algebra, a representation of a Hopf algebra is a representation of its underlying associative algebra. That is, a representation of a Hopf algebra H over a field K is a K-vector space V with an action H × V → V usually denoted by juxtaposition (that is, the image of (h,v) is written hv). The vector space V is called an H-module.

Read more about Representation Theory Of Hopf Algebras:  Properties, Categories of Representations As A Motivation For Hopf Algebras, Representations On An Algebra

Famous quotes containing the word theory:

    “The theory of the Communists may be summed up in the single sentence: Abolition of private property.”
    —Karl Marx (1818–1883)