Low-dimensional complex characters of the symplectic and orthogonal groups

2009/10/26 by Hung Ngoc Nguyen, Nguyen, Hung Ngoc
Mathematics · Computer Science · Engineering · #Finite Group Theory Research #Coding theory and cryptography #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.0910.4885

Abstract

We classify the irreducible complex characters of the symplectic groups Sp_2n(q) and the orthogonal groups Spin_2n^±(q), Spin_2n+1(q) of degrees up to the bound D, where D=(qⁿ-1)q^4n-10/2 for symplectic groups, D=q^4n-8 for orthogonal groups in odd dimension, and D=q^4n-10 for orthogonal groups in even dimension.

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