Downlow
There is combinortorics, algebra, and geometry in Young diagrams.
1Definitions
1.1 Young Tableaux
1.2 Symmetric Functions
1.3 Platic monoid
1.4 Symmetric groups
2 Exercises: Relative concepts
2.1 More Identities
2.2 More Algorithms
2.3 More Combinatorics
References
3 How they work
3.1 Representation of Symmetric groups
3.2 Representation of special linear groups
3.3 Homology of Grassmannian
Appendix: my favourite pictures