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Representation Theory of Finite Groups

Representation Theory 2022-12-22 v2 Group Theory

Abstract

The point of view of these notes on the topic is to bring out the flavour that Representation Theory is an extension of the first course on Group Theory. We also emphasize the importance of the base field. These notes cover completely the theory over complex numbers which is Character Theory. A large number of worked-out examples are the main feature of these notes. The prerequisite for this note is basic group theory and linear algebra.

Keywords

Cite

@article{arxiv.1001.0462,
  title  = {Representation Theory of Finite Groups},
  author = {Anupam Singh},
  journal= {arXiv preprint arXiv:1001.0462},
  year   = {2022}
}

Comments

These notes grew out of a course on Representation Theory of finite groups given to undergraduate students at IISER Pune. This is second draft with some revisions and additional material

R2 v1 2026-06-21T14:30:33.317Z