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Second cohomology group $H^2(\mathfrak{g},\mathbb{R})$ of a semisimple Lie algebra

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List Question

Integrate $I(a) = \int_0^{\pi/2} \frac{dx}{1-a\sin x}$

Finding the sum of this Gamma series

How to calculate $\sum_{n=1}^{\infty}\frac{(-1)^{n-1}h_n}{n^3}$ where $h_n=\sum_{k=1}^{n}\frac{1}{2k-1}$?

Integrating $\int_0^\pi \frac{x\cos x}{1+\sin^2 x}dx$

Closed form for series $\sum_{m=1}^{N}m^n\binom{N}{m}$

Evaluating $\int_0^\infty \sqrt{\frac{x}{e^x-1}}dx$ in terms of special functions

Evaluating a sum $-\zeta'(2)$

Closed form for generating function of Riemann Xi function

Closed form for integral of inverse hyperbolic function in terms of ${_4F_3}$

Non-additive-subtractive prime sequence

What kinds of expressions have a self-similar open form?

Can this equation with multiple radicals be solved using closed form expressions?

Integral $\int_0^1 \frac{2x-1}{1+x-x^2}\left(4\ln x\ln(1+x)-\ln^2(1+x)\right)dx$

Writing a power series in closed form

Second cohomology group $H^2(\mathfrak{g},\mathbb{R})$ of a semisimple Lie algebra

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