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Linear preservers of immanants on skew-symmetric matrices

✍ Scribed by M. Purificação Coelho; M. Antónia Duffner


Book ID
113772209
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
367 KB
Volume
436
Category
Article
ISSN
0024-3795

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Let T,(F) denote the vector space of all n x n upper triangular matrices over a field F. We characterize those linear transformations T on T,,(F) that satisfy one of the following properties: (1) T preserves rank one matrices; (2) T preserves both singular and nonsingular matrices; (3) T is nonsin