The variety of Jordan algebras determined by the identity \((xy)(zt)\equiv 0\) has almost polynomial growth

DOI10.1134/S0001434610050251zbMath1283.17021OpenAlexW2009516965MaRDI QIDQ368232

Mohammad Hasan, M. Dambrine, H. S. Yoon

Publication date: 18 September 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610050251

zbMATH Keywords

irreducible representationsymmetric groupYoung diagramJordan algebravariety of algebraspolynomial identitygrowth of an algebralinear algebra over a field

Mathematics Subject Classification ID

Identities and free Jordan structures (17C05)

Related Items (2)

Variety of Jordan algebras \(\text{var}\,(UT_2(F)^{(+)})\) has almost polynomial growth ⋮ Specht property for some varieties of Jordan algebras of almost polynomial growth

Cites Work

• Varieties of Lie algebras with the identity \([[x_ 1,x_ 2,x_ 3,[x_ 4,x_ 5,x_ 6]]=0\) over a field of characteristic zero]
• Exponential codimension growth of PI algebras: an exact estimate
• An example of a variety of Lie algebras with a fractional exponent
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