MULTIPLIERS OF THE TERMS IN THE LOWER CENTRAL SERIES OF THE LIE ALGEBRA OF STRICTLY UPPER TRIANGULAR MATRICES

Louis A. LEVY

Article Details

MULTIPLIERS OF THE TERMS IN THE LOWER CENTRAL SERIES OF THE LIE ALGEBRA OF STRICTLY UPPER TRIANGULAR MATRICES

Authors:

Louis A. LEVY

Publisher:

Abdullah HARMANCI

Journal:

International Electronic Journal of Algebra 2012 Vol.12 Issue 12, pp.75-88

Document Type:

Article

Publication Date:

11/2012

Document Language:

Turkish

Document ID (Org No.):

2000718260

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048

Abstract:

 

A Lie algebra multiplier parallels the idea of group theory’s Schur
 multiplier. This paper classifies the Lie algebra multipliers for all Lie algebras
 in the lower central series of strictly upper triangular matrices. Multipliers are
 central, so the classification is focused on computing their dimensions. The
 calculations are lengthy because balancing various matrix positions plays an
 important role in determining these dimensions. The result divides into six
 cases and the dimensions are given as polynomials in the size of the matrices
 and the position in the lower central series.

Article Details

MULTIPLIERS OF THE TERMS IN THE LOWER CENTRAL SERIES OF THE LIE ALGEBRA OF STRICTLY UPPER TRIANGULAR MATRICES

Authors: Louis A. LEVY

Publisher: Abdullah HARMANCI

Journal: International Electronic Journal of Algebra 2012 Vol.12 Issue 12, pp.75-88

Document Type: Article

Publication Date: 11/2012

Document Language: Turkish

Document ID (Org No.): 2000718260

Frequency: Monthly

eISSN: 1306-6048

pISSN: 1306-6048

Issues

Authors:

Louis A. LEVY

Publisher:

Abdullah HARMANCI

Journal:

International Electronic Journal of Algebra 2012 Vol.12 Issue 12, pp.75-88

Document Type:

Article

Publication Date:

11/2012

Document Language:

Turkish

Document ID (Org No.):

2000718260

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048