### MA 319: Algebraic Combinatorics

#### Credits: 3:0

The algebra of symmetric functions, Schur functions, RSK algorithm, Murnaghan- Nakayama Rule, Hillman-Grassl correspondence, Knuth equivalence, jeu de taquim, promotion and evacuation, Littlewood-Richardson rules.

No prior knowledge of combinatorics is expected, but a familiarity with linear algebra and finite groubs will be assumed.

#### Suggested books :

1. Stanley, R., Enumerative Combinatorics, volume 2 ,Cambridge University Press, 2001.
2. Sagan, B., The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions ,Graduate Texts in Mathematics vol. 203, Springer-Verlag, 2001.
3. Prasad, A., Representation Theory : A Combinational Viewpoint ,Cambridge Studies in Advanced Mathematics vol. 147, 2014.
4. Stanley, R., Lecture notes on Topics in Algebraic Combinatorics .

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Contact: +91 (80) 2293 2711, +91 (80) 2293 2265
E-mail: chairman.math[at]iisc[dot]ac[dot]in