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On Leibniz homology

Teimuraz Pirashvili (1994)

Annales de l'institut Fourier

We describe a spectral sequence for computing Leibniz cohomology for Lie algebras.

On the q-exponential of matrix q-Lie algebras

Thomas Ernst (2017)

Special Matrices

In this paper, we define several new concepts in the borderline between linear algebra, Lie groups and q-calculus.We first introduce the ring epimorphism r, the set of all inversions of the basis q, and then the important q-determinant and corresponding q-scalar products from an earlier paper. Then we discuss matrix q-Lie algebras with a modified q-addition, and compute the matrix q-exponential to form the corresponding n × n matrix, a so-called q-Lie group, or manifold, usually with q-determinant...

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