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ELA

REALIZATIONS OF THE COMPLEX NILPOTENT LIE ALGEBRAS

WITH SMALL SECOND DERIVED QUOTIENT

∗

ERNIE STITZINGER† AND LAURIE ZACK‡

Abstract. The fourteen complex nilpotent Lie algebras with a small derived quotient are realized here using 7x7 matrices.

Key words. Nilpotent Lie algebra, Small second derived quotient.

AMS subject classifications.17B30.

∗Received by the editors January 22, 2009. Accepted for publication August 7, 2009. Handling

Editor: Robert Guralnick.

†Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695,

USA ([email protected]).

‡Department of Mathematics, High Point University, High Point, NC 27262, USA

([email protected]).

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 18, pp. 513-515, August 2009

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