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Re:The Geometry of Reflection Groups (2015) [pdf] by KevinSorboFan on Monday April 29, 2019 @09:31AM (#19778165)
Coxeter groups are fun. I took it as a graduate course, but honestly you can get pretty far (and we did) just using elementary proof techniques that a 1st or 2nd year undergrad could handle.

I would recommend the book by Michael Davis for an in-depth dive: https://people.math.osu.edu/davis.12/davisbook.pdf

Re:The Geometry of Reflection Groups (2015) [pdf] by JadeNB on Monday April 29, 2019 @03:36PM (#19781839)
> I would recommend the book by Michael Davis for an in-depth dive: https://people.math.osu.edu/davis.12/davisbook.pdf

While it's a great book, I think it's very intimidating for a newcomer to the field. (I assume, without meaning anything pejorative by it, that a lot of the HN interest in mathematics comes from amateur mathematicians with varying backgrounds.) Humphreys (https://www.cambridge.org/core/books/reflection-groups-and-c...) or Grove and Benson (https://www.springer.com/us/book/9780387960821) is probably a better introduction.