Twisted Orthogonality Relations For Certain mathbb{Z}/mmathbb{Z}-graded Algebras
classification
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keywords
mathbbfrobeniusorthogonalityrelationsstaralgebraalgebrasgraded
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In this paper we will study the notion of a Frobenius $\star$-algebra and prove some orthogonality relations for the irreducible characters of a Frobenius $\star$-algebra. Then we will study $\mathbb{Z}/m\mathbb{Z}$-graded Frobenius $\star$- algebras and prove some twisted orthogonality relations for them.
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