Geodesic
The Regev Conjecture and Cocharacters for Identities of Associative Algebras of PI-exponent~1 and~2
Matematičeskie zametki, Tome 83 (2008) no. 6, pp. 815-824

Voir la notice de l'article provenant de la source Math-Net.Ru

A result confirming the Regev conjecture for the codimension of associative algebras with unit which are of PI-exponent 2 is obtained. It is proved that the sequence of multiplicities of irreducible summands in proper cocharacters of algebras of PI-exponent 2 is of period 2, beginning with some index, whereas this sequence is constant for the ordinary cocharacters of the algebras of PI-exponent 1.
Keywords: associative algebra, free associative algebra, PI-exponent, algebra of PI-exponent 2, irreducible cocharacter, algebra of polynomial growth.
Mots-clés : Young tableau 
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     author = {A. S. Gordienko},
     title = {The {Regev} {Conjecture} and {Cocharacters} for {Identities} of {Associative} {Algebras} of {PI-exponent~1} and~2},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
     volume = {83},
     number = {6},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_6_a1/}
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A. S. Gordienko. The Regev Conjecture and Cocharacters for Identities of Associative Algebras of PI-exponent~1 and~2. Matematičeskie zametki, Tome 83 (2008) no. 6, pp. 815-824. http://geodesic.mathdoc.fr/item/MZM_2008_83_6_a1/