*-Graded Capelli polynomials and their asymptotics
Copyright policy )*-Graded Capelli polynomials and their asymptotics
Let [Formula: see text] be the free *-superalgebra over a field [Formula: see text] of characteristic zero and let [Formula: see text] be the [Formula: see text]-ideal generated by the set of the *-graded Capelli polynomials [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] alternating on [Formula: see text] symmetric variables of homogeneous degree zero, on [Formula: see text] skew variables of homogeneous degree zero, on [Formula: see text] symmetric variables of homogeneous degree one and on [Formula: see text] skew variables of homogeneous degree one, respectively. We study the asymptotic behavior of the sequence of *-graded codimensions of [Formula: see text] In particular, we prove that the *-graded codimensions of the finite dimensional simple *-superalgebras are asymptotically equal to the *-graded codimensions of [Formula: see text], for some fixed natural numbers [Formula: see text] and [Formula: see text].
- University of Palermo Italy
Superalgebras, superalgebras, \(T\)-ideals, identities, varieties of associative rings and algebras, growth, Graded rings and modules (associative rings and algebras), Superalgebras, graded involutions, Capelli polynomials, codimension, growth, Capelli polynomials, Mathematics - Rings and Algebras, codimension, Settore MAT/02 - Algebra, Other kinds of identities (generalized polynomial, rational, involution), Rings and Algebras (math.RA), Growth rate, Gelfand-Kirillov dimension, FOS: Mathematics, graded involutions
Superalgebras, superalgebras, \(T\)-ideals, identities, varieties of associative rings and algebras, growth, Graded rings and modules (associative rings and algebras), Superalgebras, graded involutions, Capelli polynomials, codimension, growth, Capelli polynomials, Mathematics - Rings and Algebras, codimension, Settore MAT/02 - Algebra, Other kinds of identities (generalized polynomial, rational, involution), Rings and Algebras (math.RA), Growth rate, Gelfand-Kirillov dimension, FOS: Mathematics, graded involutions
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!