It turns out that a representation of a Lie algebra g is the same thing as a representation of a certain associative algebra U(g). Thus, as with quivers, we can view the theory of …

Representation theory is the study of groups through the lens of linear algebra, allowing us to observe how a group acts on a vector space while making use of all the standard theorems …

Representation theory reverses the question to “Given a group G, what objects X does it act on?” and attempts to answer this question by classifying such X up to isomorphism.

May 20, 2016 · 1.1 Basic Representation Theory What is representation theory all about? We have groups on one hand, and symmetries of some object on the other hand. It is the total …

Representation is a sign or combination of signs, characters, diagram, objects, pictures, or graphs, which can be utilized in teaching and learning mathematics. Normally, there are four …

We call a representation (π, V) a complex representation if V is a vector space over the complex numbers. Similarly, we say the representation is a real representation if V is a vector space is …

One way to integrate universal design principles into your classroom is to provide learners with multiple means of REPRESENTATION. This particular UDL approach focuses on giving …