LisMath Seminar 

08/04/2016, 16:00 — 17:00 — Room 6.2.33, Faculty of Sciences of the Universidade de Lisboa
Tânia Zaragoza, Universidade de Lisboa

Representation Theories of the Symmetric Group and the Rook Monoid

There are nice ways of regarding the representation theory of the symmetric groups, such as the branching graph. This theory has some elements in common with the representation theory of the rook monoid, which have been studied more recently.

Bibliography

1. Kleshchev, Linear and Projective Representations of Symmetric Groups, Cambridge Tracts in Mathematics 163 (2005).
2. J A Green, Polynomial Representations of GLn, Springer Lecture Notes in Mathematics, 2000.
3. Okounkov, Vershik, A New Approach to Representation Theory of Symmetric Groups, Selecta Mathematica, New series, vol. 2 n. 4, 1996.
4. L. Solomon, Representations of the rook monoid, Journal of Algebra, 2002.
5. O. Ganyushkin, V. Mazorchuk, B. Steinberg, On the irreducible representations of a finite semigroup, Proc. Amer. Math. Soc., v 137, 2009.

See also

lismath-08-04.pdf