This article is cited in 4 papers

Integral invariant lattices in Lie algebras of type $A_{p^m-1}$

K. S. Abdukhalikov


Abstract: Integral invariant lattices associated with the standard orthogonal decomposition of a Lie algebra of type $A_{p^m-1}$ are described up to similarity. Duality in the class of invariant lattices is studied. Even unimodular root-free lattices of dimension $p^{2m}-1$ are distinguished.

UDC: 512.54+512.554

MSC: 17B05, 17B20

Received: 03.03.1992

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1994, 78:2, 447–478

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