IMSc Webinar

Quasi $p$-Steinberg Characters of double covers of Symmetric and Alternating groups

Digjoy Paul

IMSc

Zoom link: us02web.zoom.us/j/83548480557

An irreducible character of a finite group $G$ is called Quasi $p$-Steinberg for a prime $p$ if it takes non-zero value on every $p$-regular element of $G$.

In this talk,  we shall recall some combinatorial aspects of the representation theory of double covers of Symmetric and Alternating groups. Then we discuss the existence of Quasi
$p$-Steinberg Characters of those groups. This talk is based on ongoing work with Pooja Singla.

Suggested readings:

1. A. O. Morris, The spin representation of the symmetric group, Proc. London Math. Soc. (3), 12 (1962).

2. J. R. Stembridge, Shifted tableaux and the projective representations of the symmetric groups. Adv. in Math. 74 (1989).