The Complexity of the Lie Module

The Complexity of the Lie Module

We show that the complexity of the Lie module Lie(n) in characteristic p is bounded above by m, where pm is the largest p-power dividing n, and, if n is not a p-power, is equal to the maximum of the complexities of Lie(pi) for 1≤i≤m.

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Veröffentlicht in:Proceedings of the Edinburgh Mathematical Society 2014-06, Vol.57 (2), p.393-404
Hauptverfasser: Erdmann, Karin, Lim, Kay Jin, Tan, Kai Meng
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Applied mathematics
Complexity
Geometry
Mathematical analysis
Modules
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Zusammenfassung:We show that the complexity of the Lie module Lie(n) in characteristic p is bounded above by m, where pm is the largest p-power dividing n, and, if n is not a p-power, is equal to the maximum of the complexities of Lie(pi) for 1≤i≤m.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091513000473