Multipliers, W-algebras and the growth of generalized polynomial identities

2025/02/18 by Martino, Fabrizio, Rizzo, Carla · 2 citations
#16G30 #16R50 #FOS: Mathematics #Primary 16R10 #Rings and Algebras (math.RA) #Secondary 16P90

paper · doi:10.48550/arxiv.2502.12830

Abstract

Let A be a W-algebra over a field F of characteristic zero, where W is any F-algebra. We develop a comprehensive theory of generalized identities independently on the algebraic structure of W, using the multiplier algebra of A. We also characterize the generalized varieties of almost polynomial growth generated by finite dimensional W-algebras. Finally, we provide a counter-example to the Specht property of generalized T_W-ideals in characteristic zero.

Cited by

• Varieties of graded W-algebras and asymptotic behavior of codimension growth
• Cocharacters of generalized polynomial identities

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• Varieties of graded W-algebras and asymptotic behavior of codimension growth
• Cocharacters of generalized polynomial identities
• Algebras with additional structures and multiplicities bounded by a constant
• Two-Term Polynomial Identities
• POLYNOMIAL IDENTITIES ON SUPERALGEBRAS AND ALMOST POLYNOMIAL GROWTH