Algebras with involution with linear codimension growth

Daniela La Mattina, Paola Misso, Daniela La Mattina, Misso

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Abstract

We study the ∗-varieties of associative algebras with involution over a field of characteristic zero whichare generated by a finite-dimensional algebra. In this setting we give a list of algebras classifying all such∗-varieties whose sequence of ∗-codimensions is linearly bounded. Moreover, we exhibit a finite list ofalgebras to be excluded from the ∗-varieties with such property. As a consequence, we find all possiblelinearly bounded ∗-codimension sequences.
Lingua originaleEnglish
pagine (da-a)270-291
Numero di pagine22
RivistaJournal of Algebra
Volume305
Stato di pubblicazionePublished - 2006

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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