Jordan schemes

Mikhail Muzychuk; Sven Reichard; Mikhail Klin

doi:10.1007/s11856-022-2314-6

Jordan schemes

Mikhail Muzychuk, Sven Reichard, Mikhail Klin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In 2003 Peter Cameron introduced the concept of a Jordan scheme and asked whether there exist Jordan schemes which are not symmetrisations of coherent configurations (proper Jordan schemes). The question was answered affirmatively by the authors in 2019 and some of the examples were presented in an essay uploaded to the arXiv. In the current paper we describe several infinite series of proper Jordan schemes and present first developments in the theory of Jordan schemes—a new class of algebraic-combinatorial objects.

Original language	English
Pages (from-to)	309-342
Number of pages	34
Journal	Israel Journal of Mathematics
Volume	249
Issue number	1
DOIs	https://doi.org/10.1007/s11856-022-2314-6
State	Published - 1 Jun 2022

ASJC Scopus subject areas

General Mathematics

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10.1007/s11856-022-2314-6

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Jordan schemes

Abstract

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