Abstract
Let J be a special Jordan algebra and let cn(J) be its corresponding codimension sequence. The aim of this paper is to prove that in case J is finite dimensional, such a sequence is polynomially bounded if and only if the variety generated by J does not contain UJ2, the special Jordan algebra of 2×2 upper triangular matrices. As an immediate consequence, we prove that UJ2 is the only finite dimensional special Jordan algebra that generates a variety of almost polynomial growth.
Lingua originale | English |
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pagine (da-a) | 184-196 |
Numero di pagine | 13 |
Rivista | Journal of Algebra |
Volume | 531 |
Stato di pubblicazione | Published - 2019 |
All Science Journal Classification (ASJC) codes
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