On representation theory and geometric group theory in probability theory and statistics (Cayley distance, Kendall distance, …):

- Persi Diaconis, Phil Hanlon,
*Eigen Analysis for Some Examples of the Metropolis Algorithm*, in Donald Richards (ed.)*Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications*, Contemporary Mathematics Vol. 138, AMS 1992 (doi:10.1090/conm/138, EFS NSF 392, pdf)

On something similar to (but different from) n-Lie algebras:

- Phil Hanlon, Michelle Wachs,
*On Lie $k$-Algebras*, Advances in Mathematics Volume 113, Issue 2, July 1995, Pages 206–236 (doi:10.1006/aima.1995.1038)

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