Let G be a finite group and A a G-graded algebra over a field of characteristic zero. When A is a PI-algebra, the graded codimensions of A are exponentially bounded and one can study the corresponding graded cocharacters via the representation theory of products of symmetric groups. Here we characterize in two different ways when the corresponding multiplicities are bounded by a constant. © 2012 Elsevier B.V.
Cirrito, A., Giambruno, A. (2013). Group graded algebras and multiplicities bounded by a constant. JOURNAL OF PURE AND APPLIED ALGEBRA, 217(2), 259-268 [10.1016/j.jpaa.2012.06.005].
Group graded algebras and multiplicities bounded by a constant
CIRRITO, AlessioPrimo
;GIAMBRUNO, AntoninoUltimo
2013-01-01
Abstract
Let G be a finite group and A a G-graded algebra over a field of characteristic zero. When A is a PI-algebra, the graded codimensions of A are exponentially bounded and one can study the corresponding graded cocharacters via the representation theory of products of symmetric groups. Here we characterize in two different ways when the corresponding multiplicities are bounded by a constant. © 2012 Elsevier B.V.
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