Robin’s Index
Posts about Linear Algebra and Representation Theory:
- Matrices
- Determinants and Inverses
- Minors and Inverses
- Schur Functions
- Hooks and Division
- Vandermonde Matrix at Roots of Unity
- Permutation Groups
- Transitive Permutation Groups
- Inner Products
- Hermitian Matrices I
- Unitary Matrices
- Diagonalizability of Normal Operators
- Unitary Diagonalizability
- Representations of Finite Groups
- Unitary Representations
- Semisimplicity and Schur’s Lemma
- Group Rings
- Commutants of various matrices
These are more or less my personal notes. There are typos. There are mismatches between the html versions and the pdf versions. One day I will probably fix these, but its not particularly a priority just now.
Posts about Coloured Permutations:
These are some notes on a research project which I began but have not finished.
- Permutations
- Signed Permutations
- Coloured Permutations
- Conjugacy Classes of Cycles
- Conjugacy Classes of Coloured Cycles I
- Conjugacy Classes of Coloured Cycles II
- Conjugacy Classes of the Symmetric Group I
- Conjugacy Classes of the Symmetric Group II
Posts about Haskell:
- Permutations in Haskell I
- Permutations in Haskell II
- Permutations in Haskell III
- Matrices in Haskell I
- Matrices in Haskell II
Please note that I am still learning Haskell. What I post here is not a polished finished project, but a work in progress. I find that making regular blog posts helps me to stay focused and feel like I am making some progress – even if it is slow.
Posts about GAP:
- Permutations in GAP I
- Permutations in GAP II
- Coloured Permutations in GAP I
- Coloured Permutations in GAP II
The same disclaimer for my posts about hakell holds for my posts about GAP. I find the syntax in GAP difficult to remember and the reference manual confusing. More than anything else, these posts are reminders to myself about how to do various things. Ultimately I would like to rewrite in haskell all the functionality in GAP which I actually use.