Lie groups, as continuous groups endowed with differentiable structure, provide a powerful framework to study symmetries across mathematics and physics. Their associated representation theory offers ...

In this paper we prove some properties of the nonabelian cohomology Hⁱ (A, G) of a group A with coefficients in a connected Lie group G. When A is finite, we show that for every A-submodule K of G ...

The compact simply connected Riemannian 4-symmetric spaces were classified by J. A. Jiménez as the type of Lie algebra. Needless to say, these spaces as homogeneous manifolds are of the form G/H, ...

Researchers designed four experiments in which groups consistently distinguished truth from lies more accurately than one individual, demonstrating that the group advantage in lie detection comes ...