English

The unit theorem for finite-dimensional algebras

Rings and Algebras 2017-03-22 v1 Combinatorics

Abstract

The "unit theorem" to which the present mini-course is devoted is a theorem from algebra that has a combinatorial flavour, and that originated in fact from algebraic combinatorics. Beyond a proof, the course also addresses applications, one of which is a proof of the normal basis theorem from Galois theory.

Keywords

Cite

@article{arxiv.1703.07273,
  title  = {The unit theorem for finite-dimensional algebras},
  author = {Hendrik Lenstra},
  journal= {arXiv preprint arXiv:1703.07273},
  year   = {2017}
}

Comments

These are notes for a mini-course given at the Max Planck Institute for Mathematics in Bonn, on October 25th and November 3rd 2016

R2 v1 2026-06-22T18:52:42.048Z