Some Results for Decomposition Numbers for the Hecke Algebra of Type A with q  = −1.

Let ℋ = ℋℂ, −1(𝔖n) be the Hecke algebra of the symmetric group 𝔖n. For partitions λ and ν with ν 2 − regular, define the Specht moduleS(λ) and the irreducible moduleD(ν). Definedλν = [S(λ):D(ν)] to be the composition multiplicity ofD(ν) inS(λ). In this paper we compute the decomposition numbersdλνfor all partitions of the form λ = (a,c, 1b) and ν 2 − regular. [ABSTRACT FROM AUTHOR]