Notes on Polynomial Representations of General Linear Groups

@inproceedings{Wildon2008NotesOP,
  title={Notes on Polynomial Representations of General Linear Groups},
  author={Mark Wildon},
  year={2008}
}
Let F be an infinite field. For each pair (i, j) with 1 ≤ i, j ≤ n, let Xij : GLn(F ) → F be the coordinate function sending a matrix x to its entry xij . Let F [Xij ] denote the algebra generated by these functions. As this notation suggests, we identify F [Xij ] with the polynomial ring in n 2 indeterminants; this is admissible because the field F is… CONTINUE READING