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Integration of $\int\limits_0^{2\pi} \int\limits_0^{2\pi} \min \{ x-y, 2\pi- (x-y) \} e^{a\cos(x)} e^{a\cos(y)} \, dx \, dy$
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Is the group law for SO(2n, R) encoded in so(2n,R)?
@AlexM. Its definitely relevant that the exponential is surjective for $\mathrm{SO}(2n, \mathbb{R})$ (if this was not true I definitely wouldn't be asking the question). I couldn't find anything on the wki page for the BCH formula that answered my questions about the special orthogonal case.
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Integration of $\int\limits_0^{2\pi} \int\limits_0^{2\pi} \min \{ x-y, 2\pi- (x-y) \} e^{a\cos(x)} e^{a\cos(y)} \, dx \, dy$
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Is the group law for SO(2n, R) encoded in so(2n,R)?
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