Free color Lie superalgebras
2002
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Advisor: Prof. Dr. Naime Ekici
Abstract (EN)
ABSTRACT PhD THESIS FREE COLOR LIE SUPERALGEBRAS ERSİN KIRAL DEPARTMENT OF MATHEMATICS INSTUTE OF NATURAL AND APPLIED SCIENCES UNIVERSTY OF ÇUKUROVA Supervisor : Naime EKİCÎ Year: 2002, Pages: 81 Jury : Prof. Dr. Naime EKİCÎ Prof. Dr. Melih BORAL Assoc. Prof. Dr. Adnan TERCAN Assoc. Prof. Dr. Bilal VATANSEVER Assist. Prof. Dr. Perihan (DİNÇ) ARTUT In this study, some test elements have been obtained for free color Lie superalgebras and particularly free color Lie superalgebras having rank two. Besides we have developed some criteria by using double Jacobian matrix to determine whether an endomorphism of L is an automorphism. Basis and dimensions of L" /Ln+i algebras have been calculated for n < 9. The automorphisms of free color Lie superalgebras of rank two have been generalized. In addition, we have developed an algorithm for finding the rank of a given w-homogenues element of free color Lie superalgebras. Key Words : Free color Lie superalgebra, Jacobian matrix, Test elements. II
Author
Dr. Ersin Kıral
How to Cite
Ersin Kıral (Doctorate thesis). Free color Lie superalgebras, 2002, Çukurova University.
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