Date and Time: Saturday 24 October, 04.00pm
Speaker: Ashish Shukla
Google Meet Link:
https://meet.google.com/tbg-fghh-nmg
Title: Representation theory of the symmetric group
Abstract: We give a glimpse into the representation theory of the symmetric group (S_n). Here we
begin by establishing the basics of representation theory by addressing questions such as: what is a
representation? what is a module? how many irreducible representations are there? etc. We then
answer these questions for the symmetric group. We define certain terminologies, building the basics
of representation theory from introductory knowledge of linear algebra and group theory. We explore
an intimate connection between Young tableaux and representations of the symmetric group. We
describe the construction of Specht modules which are irreducible representations of S_n