Adding other versions to the burau_matrix method of the braid group class

[soehms]

1. Version of the Burau matrix according to Wikipeda

2. Unitary version according to: C. C. Squier:THE BURAU REPRESENTATION IS UNITARY, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, Volume 90. Number 2, February 1984

CC: @miguelmarco @tscrim

Component: group theory

Keywords: days94

Author: Sebastian Oehms

Branch/Commit: cf4f640

Reviewer: Travis Scrimshaw

Issue created by migration from https://trac.sagemath.org/ticket/25760

[soehms]

Author: Sebastian Oehms

[soehms]

Branch: u/soehms/burau_matrix

[soehms]

New commits:

567b955	implement wikipedia and unitary version
6636298	add the hermitian form
c1f5994	add adjoined matrix
ec081e5	corrections and doctest
6dc4264	Merge branch 'develop' into burau_matrix

[soehms]

Commit: 6dc4264

[tscrim]

Changed commit from 6dc4264 to cf4f640

[tscrim]

comment:4

I made a few changes in a way I think is more natural by allowing reduced to take a string saying what reduced form to construct. If my changes are good, then positive review.

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New commits:

cf4f640

Doing a little reorganization.

[tscrim]

Changed branch from u/soehms/burau_matrix to public/groups/burau_matrix_types-25760

[tscrim]

Reviewer: Travis Scrimshaw

[soehms]

comment:5

Hi Travis,

thanks for reviewing this. I agree with all your improvements!

It's a good idea to integrate the new functionality into the reduced-option (I was thinking to much in types)! Also, the more precise description of the difference of the versions is very helpful.
Finally, thanks for your corrections with respect to formatting conventions. I hope I will learn them soon.

[vbraun]

Changed branch from public/groups/burau_matrix_types-25760 to cf4f640