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math.RT2010
The non-projective part of the Lie module for the symmetric group
Karin Erdmann, Kai Meng Tan
The Lie module of the group algebra of the symmetric group is known to be not projective if and only if the characteristic of divides . We show that in this case…
math.RT2010
Asymptotic behaviour of Lie powers and Lie modules
Roger M. Bryant, Kay Jin Lim, Kai Meng Tan
Let be a finite-dimensional -module, where is a field of prime characteristic and is a group. We show that, when is not a power of , the Lie power $L^r(V…