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IRREDUCIBLE CHARACTERS FOR ALGEBRAIC GROUPS IN CHARACTERISTIC THREE

IRREDUCIBLE CHARACTERS FOR ALGEBRAIC GROUPS IN CHARACTERISTIC THREE

All irreducible characters for the special orthogonal group SO(7, K) and the symplectic group Sp(6, K) over an algebraically closed field K of characteristic 3 are determined, and the Cartan invariant matrix for the finite group SO(7, 3) is also calculated in this note.