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math.AT2019
Spatial realization of a Lie algebra and Bar construction of a group
Yves Félix, Daniel Tanré
We prove that the spatial realization of a rational complete Lie algebra , concentrated in degree 0, is isomorphic to the simplicial bar construction on the group, obtained from…
math.AT2019
Relative singular value decomposition and applications to LS-category
E. Macías-Virgós, M. J. Pereira-Sáez, Daniel Tanré
Let be the symplectic group of quaternionic -matrices. For any , an element of can be decomposed in $A= \begin{bmatrix} α&T\cr β&P \…