Hall–Littlewood polynomials at roots of 1 and modular representations of the symmetric group

• DOI: 10.1017/s0305004100070511
• Publication Date: 2008-11-07T14:43:29Z
• Authors: A. O. Morris; N. Sultana

We first give a brief introduction to Hall–Littlewood functions; we follow closely the notation used in Macdonald [3]. Let λ = (λ 1 ,…,λ m ) be partition of n ; that is + … , ≥ 2 >0. shall sometimes write l (λ) for and refer as length |λ| ∑λ i . x an infinite set indeterminates t indeterminate independent ( 1,2, …). P λ(x Q (x - -functions defined Macdonald.