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math.RA2025
Cocharacters of generalized polynomial identities
Sebastiano Argenti, Giovanni Busalacchi
In this paper we extend the cocharacter theory to generalized identities of -algebras. We prove that the Hilbert series of the relatively free -algebra admits an expansion in…
math.RA2024
Group gradings on exceptional simple Lie superalgebras
Sebastiano Argenti, Mikhail Kochetov, Felipe Yasumura
We classify up to isomorphism the gradings by arbitrary groups on the exceptional classical simple Lie superalgebras , and over an algebraically closed fiel…