{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,8,26]],"date-time":"2022-08-26T07:40:32Z","timestamp":1661499632878},"reference-count":21,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2022,9]]},"abstract":"<jats:p> 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]. <\/jats:p>","DOI":"10.1142\/s0218196722500503","type":"journal-article","created":{"date-parts":[[2022,5,20]],"date-time":"2022-05-20T14:20:48Z","timestamp":1653056448000},"page":"1179-1202","source":"Crossref","is-referenced-by-count":0,"title":["*-Graded Capelli polynomials and their asymptotics"],"prefix":"10.1142","volume":"32","author":[{"given":"F. S.","family":"Benanti","sequence":"first","affiliation":[{"name":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Palermo, via Archirafi, 34, 90123 Palermo, Italy"}]},{"given":"A.","family":"Valenti","sequence":"additional","affiliation":[{"name":"Dipartimento di Ingegneria, Universit\u00e0 di Palermo, Viale delle Scienze, 90128 Palermo, Italy"}]}],"member":"219","published-online":{"date-parts":[[2022,6,21]]},"reference":[{"key":"S0218196722500503BIB001","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-2013-11589-3"},{"key":"S0218196722500503BIB002","first-page":"83","volume":"650","author":"Aljadeff E.","year":"2011","journal-title":"J. Reine Angew. 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