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You searched for +publisher:"Universidade Estadual de Campinas" +contributor:("Chestakov, Ivan"). One record found.

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Universidade Estadual de Campinas

1. Popov, Yuri, 1993-. Representations of noncommutative Jordan superalgebras : Representações de superálgebras não comutativas de Jordan: Representações de superálgebras não comutativas de Jordan.

Degree: 2020, Universidade Estadual de Campinas

Abstract: Noncommutative Jordan algebras were introduced by Albert. He noted that the structure theories of alternative and Jordan algebras share so many nice properties that it is natural to conjecture that these algebras are members of a more general class with a similar theory. So he introduced the variety of noncommutative Jordan algebras defined by the Jordan identity and the flexibility identity. The class of noncommutative Jordan (super)algebras turned out to be vast: for example, apart from alternative and Jordan (super)algebras it contains quasiassociative (super)algebras, quadratic flexible (super)algebras and (super)anticommutative (super)algebras. However, the structure theory of this class is far from being nice. Nevertheless, a certain progress was made in the study of structure theory of noncommutative Jordan algebras (and, more generally, superalgebras). Particularly, simple algebras of this class were studied by many authors. Simple finite-dimensional central noncommutative Jordan superalgebras were described by Pozhidaev and Shestakov. Representations of alternative and Jordan superalgebras is a popular topic nowadays which was studied by many authors. In this work we study representations of noncommutative Jordan algebras. In particular, we classify the irreducible finite-dimensional representations of simple finite-dimensional noncommutative Jordan superalgebras over an algebraically closed field of characteristic 0 and prove Kronecker factorization theorems for some superalgebras Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Lopatin, Artem, 1980- (advisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Chestakov, Ivan (committee member), Guzzo Junior, Henrique (committee member), Kochloukov, Plamen Emilov (committee member), Petrogradsky, Victor Mikhaylovich (committee member).

Subjects/Keywords: Álgebras de Jordan; Representações de álgebras; Álgebras não-associativas; ordan algebras; Representations of algebras; Nonassociative algebras

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APA (6th Edition):

Popov, Yuri, 1. (2020). Representations of noncommutative Jordan superalgebras : Representações de superálgebras não comutativas de Jordan: Representações de superálgebras não comutativas de Jordan. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/354932

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Popov, Yuri, 1993-. “Representations of noncommutative Jordan superalgebras : Representações de superálgebras não comutativas de Jordan: Representações de superálgebras não comutativas de Jordan.” 2020. Thesis, Universidade Estadual de Campinas. Accessed March 08, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/354932.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Popov, Yuri, 1993-. “Representations of noncommutative Jordan superalgebras : Representações de superálgebras não comutativas de Jordan: Representações de superálgebras não comutativas de Jordan.” 2020. Web. 08 Mar 2021.

Vancouver:

Popov, Yuri 1. Representations of noncommutative Jordan superalgebras : Representações de superálgebras não comutativas de Jordan: Representações de superálgebras não comutativas de Jordan. [Internet] [Thesis]. Universidade Estadual de Campinas; 2020. [cited 2021 Mar 08]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/354932.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Popov, Yuri 1. Representations of noncommutative Jordan superalgebras : Representações de superálgebras não comutativas de Jordan: Representações de superálgebras não comutativas de Jordan. [Thesis]. Universidade Estadual de Campinas; 2020. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/354932

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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