[Publications][Nicolas Monod]

Self-representations of the Möbius group

Contrary to the finite-dimensional case, the Möbius group admits interesting self-representations when infinite-dimensional. We construct and classify all these self-representations. The proofs are obtained in the equivalent setting of isometries of Lobachevsky spaces and use kernels of hyperbolic type, in analogy to the classical concepts of kernels of positive and negative type.

Authors: N. Monod and P. Py

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[Publications][Nicolas Monod]