Artículo
Maximal ideals and representations of twisted forms of algebras
Fecha de publicación:
07/2013
Editorial:
Mathematical Sciences Publishers
Revista:
Algebra & Number Theory
ISSN:
1937-0652
e-ISSN:
1944-7833
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Abstract Given a central simple algebra g g and a Galois extension of base rings S ∕ R S∕R, we show that the maximal ideals of twisted S ∕ R S∕R-forms of the algebra of currents g ( R ) g(R) are in natural bijection with the maximal ideals of R R. When g g is a Lie algebra, we use this to give a complete classification of the finite-dimensional simple modules over twisted forms of g ( R ) g(R).
Palabras clave:
Galois Descent
,
Maximal Ideal
,
Twisted Forms of Algebras
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Identificadores
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Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos de SEDE CENTRAL
Citación
Lau, Michael; Pianzola, Arturo; Maximal ideals and representations of twisted forms of algebras; Mathematical Sciences Publishers; Algebra & Number Theory; 7; 2; 7-2013; 431-448
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