6533b824fe1ef96bd128008a

RESEARCH PRODUCT

Polynomial identities on superalgebras: Classifying linear growth

Paola MissoD. La MattinaAntonio Giambruno

subject

Discrete mathematicsPolynomialPure mathematicsSequenceAlgebra and Number TheoryMathematics::Commutative AlgebraMathematics::Rings and AlgebrasZero (complex analysis)Field (mathematics)graded polynomial identity T_2-ideal graded codimensionsSuperalgebraSettore MAT/02 - AlgebraMathematics::Quantum AlgebraBounded functionMathematics::Representation TheoryLinear growthMathematics

description

Abstract We classify, up to PI-equivalence, the superalgebras over a field of characteristic zero whose sequence of codimensions is linearly bounded. As a consequence we determine the linear functions describing the graded codimensions of a superalgebra.

https://doi.org/10.1016/j.jpaa.2005.09.006