This paper reviews the Euler–Rodrigues formula in the axis–angle representation of
rotations, studies its variations and derivations in different mathematical forms as vectors …

This open access textbook presents a comprehensive treatment of the arithmetic theory of
quaternion algebras and orders, a subject with applications in diverse areas of mathematics …

This book classifies the maximal subgroups of the almost simple finite classical groups in
dimension up to 12; it also describes the maximal subgroups of the almost simple finite …

A bstract Infinite distance limits in the moduli space of a quantum gravity theory are
characterized by having infinite towers of states becoming light, as dictated by the Distance …

Unitary t-designs are a ubiquitous tool in many research areas, including randomized
benchmarking, quantum process tomography, and scrambling. Despite the intensive efforts …

We review, for a general audience, a variety of recent experiments on extracting structure
from machine-learning mathematical data that have been compiled over the years. Focusing …

Strongly Regular Graphs Page 1 Chapter 9 Strongly Regular Graphs 9.1 Strongly regular
graphs A graph (simple, undirected, and loopless) of order v is called strongly regular with …

Schur–Weyl duality is a ubiquitous tool in quantum information. At its heart is the statement
that the space of operators that commute with the t-fold tensor powers U⊗ t of all unitaries …

Strongly regular graphs lie at the intersection of statistical design, group theory, finite
geometry, information and coding theory, and extremal combinatorics. This monograph …

A classical theorem of Jordan states that every finite transitive permutation group contains a
derangement. This existence result has interesting and unexpected applications in many …