Sternberg: Group Theory And Physics New !full!

Sternberg has continued to refine these concepts in newer volumes that provide a "companion" experience to standard physics curricula. Group theory and physics - Google Books

and its representations, which are fundamental to understanding elementary particle physics and quantum mechanical states. sternberg group theory and physics new

Current topological quantum field theories (TQFTs) rely heavily on finite groups, quantum groups, or modular tensor categories. But many newly discovered topological phases exhibit (e.g., non-invertible defects, gauge groupoid symmetries from lattice defects). Sternberg’s groupoid formalism provides a natural mathematical home for these. Sternberg has continued to refine these concepts in

We live in an era of "symmetry surpluses." High-energy physics is awash in exotic algebras (E8, quantum groups, higher categories). But the foundational question remains Sternberg’s: But many newly discovered topological phases exhibit (e

The most famous node in Sternberg’s legacy is his collaboration with Alan Weinstein. Their seminal work on the reduction of symplectic manifolds with symmetry (the Marsden–Weinstein–Meyer theorem, often extended by Sternberg) is not new, but its application is.

In short: when string theorists worry about the type of a manifold that a string can propagate on, they are walking through a door that Sternhelg helped pry open.