Young tableaux & the symmetric group

textbook cover
Young tableaux
permutation
textbook cover
Description
A Young tableau is obtained by filling the boxes in an appropriate diagram with symbols from some alphabet. To handle, count, and manipulate these objects, we will develop some combinatorial algorithms. Using this beautiful machinery, we will then explore how to map the symmetric group into a collection of invertible matrices. Group theory (i.e. MATH 310) will not be assumed or required.
Prerequisites
MATH 210, MATH 211, or MATH 217.
Instructor
G.G. Smith (512 Jeffery Hall, 613-533-2438, ggsmith@mast.queensu.ca)
Lectures (slot 001)
Mondays at 08:30–09:20 in 115 Jeffery Hall
Tuesday at 10:30–11:20 in 115 Jeffery Hall
Thursday at 09:30–10:20 in 115 Jeffery Hall
Office Hours
Tuesdays at 15:30–16:20 in 201 Jeffery Hall
Wednesdays at 17:30–18:20 in 201 Jeffery Hall
Examination
Will be scheduled by the registrar.
References
[F] William Fulton, Young tableaux, London Mathematical Society Student Texts 35, Cambridge University Press, Cambridge, 1997, ISBN: 0-521-56144-2.
[S] Bruce E. Sagan, The symmetric group, Graduate Texts in Mathematics 203, Springer-Verlag, New York, 2001, ISBN: 0-387-95067-2