Explore a mathematical theme.
A record has one canonical identity. Collections bring related objects together around a classification or a physics problem.
Finite simple groups
Follow the classification through prime-order cyclic groups, alternating groups, finite groups of Lie type, and the sporadic groups. Low parameters and exceptional identifications are part of each family.
Compact groups with simple Lie algebra
Choose the Lie type and then the global form. A simply connected cover and a central quotient are distinct global group records.
Finite symmetries in physics
Small nonabelian groups, discrete charges, rotational groups, binary lifts, and selected finite SU(3) subgroups. The representation summaries use ordinary complex irreps.
Spacetime groups and spin covers
Keep dimension, signature, connected component, and covering group visible when discussing fields and states.
Gauge groups and global forms
Compact groups, central quotients, and covering maps relevant to gauge theory. Group data constrain a theory; matter and line-operator choices belong to a physical setup.
Exceptional Lie types
The compact exceptional groups, their complex algebras and real forms, and the finite Lie-type families are distinct objects with related root data.