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Master's Dissertation
DOI
10.11606/D.45.2008.tde-28102008-013856
Document
Author
Full name
Octávio Bernardes Ferreira Neto
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2008
Supervisor
Committee
Murakami, Lucia Satie Ikemoto (President)
Ferreira, Vitor de Oliveira
Paques, Antonio
Title in Portuguese
Correspondência do tipo Galois para ações de álgebras de Hopf em álgebras primas
Keywords in Portuguese
ações de álgebras de Hopf
correspondência Hopf-Galois
estrutura de coálgebras
Abstract in Portuguese
Demonstramos um teorema da correspondência do tipo Galois para ações de álgebras de Hopf pontuais de dimensão finita em álgebras primas. A correspondência acontece entre subálgebras racionalmente completas e comódulo subálgebras. As subálgebras racionalmente completas são subálgebras da álgebra prima, enquanto os comódulo subálgebras são comódulo subálgebras do produto smash entre o centralizador da álgebra prima em sua álgebra de quocientes de Martindale simétrica e a álgebra de Hopf.
Title in English
Galois-type correspondence for prime algebras acted upon by Hopf algebras
Keywords in English
coalgebra structures
Hopf algebra actions
Hopf-Galois correspondence
Abstract in English
A Galois-type correspondence theorem for prime algebras acted upon by a finite dimensional pointed Hopf algebra is proved. The correspondence involves rationally complete subalgebras and comodule subalgebras. The rationally complete subalgebras are subalgebras of the prime algebra, while the comodule subalgebras are comodule subalgebras of the smash product between the centralizer of the prime algebra in its symmetric Martindale quotient algebra and the Hopf algebra.
 
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dissertacao_octavio.pdf (686.36 Kbytes)
Publishing Date
2008-12-16
 
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