What is Representation theory of Hopf algebras?

In mathematics, a representation theorem is a theorem that states that every abstract structure with certain properties is isomorphic to another structure.

The Hopf theorem is a statement in differential topology, saying that the topological degree is the only homotopy invariant of continuous maps to spheres.

In mathematics, specifically in representation theory, a semisimple representation is a linear representation of a group or an algebra that is a direct sum of simple representations. It is an...

In mathematics, the representation theory of the symmetric group is a particular case of the representation theory of finite groups, for which a concrete and detailed theory can be obtained....

In functional analysis, every C-algebra is isomorphic to a subalgebra of the C-algebra...

In mathematics and physics CCR algebras and CAR algebras arise from the quantum mechanical study of bosons and fermions respectively. They play a prominent role in quantum statistical mechanics and...

Many first principles in quantum field theory are explained, or get further insight, in string theory.

In mathematics, Hopf conjecture may refer to one of several conjectural statements from differential geometry and topology attributed to Heinz Hopf.

In mathematics, a source for the representation theory of the group of diffeomorphisms of a smooth manifold M is the initial observation that that group acts transitively on M.

In mathematics, a braided Hopf algebra is a Hopf algebra in a braided monoidal category. The most common braided Hopf algebras are objects in a Yetter–Drinfeld category of a Hopf...