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math.RT2007★ 1 cited
Extending real-valued characters of finite general linear and unitary groups on elements related to regular unipotents
Rod Gow, C. Ryan Vinroot
When n is odd, consider the finite general linear and unitary groups of rank n, extended by the inverse transpose automorphism. There are elements in the extended groups which squa…
math.RT2007★ 40 cited
Generation of mutually unbiased bases as powers of a unitary matrix in 2-power dimensions
Rod Gow
Let q be a power of 2. We show by representation theory that there exists a q x q unitary matrix of multiplicative order q+1 whose powers generate q+1 pairwise mutually unbiased ba…