Document Type
Lecture
Publication Date
2-26-2010
Abstract
Let f: V -> W be a linear transformation between finite dimensional vector spaces. A classical theorem from linear algebra states that f can be represented by a matrix, once bases for V and W have been specified. In particular, this implies that the set Hom(V, W) of all such linear transformations is itself a finite dimensional vector space. We will discuss the question of what happens when the vector space assumption is relaxed and one considers higher-dimensional versions of Hom(V, W). This talk will be accessible to graduate students.
Relational Format
presentation
Recommended Citation
Sather-Wagstaff, Sean, "Structure of homomorphism sets, and generalizations" (2010). Colloquium. 43.
https://egrove.olemiss.edu/math_colloquium/43
