Papers › Spectral gap for the cohomological Laplacian of SL₃(ℤ)
Spectral gap for the cohomological Laplacian of SL₃(ℤ)
Marek Kaluba, Piotr Mizerka, Piotr W. Nowak
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We show that the cohomological Laplacian in degree 1 in the group cohomology of SL₃(ℤ) is a sum of hermitian squares in the algebra 𝕄ₙ(ℝG). We provide an estimate of the spectral gap for this Laplacian for every unitary representation.
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