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Geometric Lattices Generated by Idempotent Matrices over Finite Fields

Ying Zhang

Abstract


A few results on the set of idempotent matrix are obtained over finite field. Then by defining new matrix ordering relation over a certain set of idempotent matrices, a family of geometric lattices is obtained. Its characteristic polynomial is also computed.

Keywords


geometric lattice, idempotent matrix, characteristic polynomial, finite field.

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