Representation theory studies the ways in which abstract algebraic objects—groups, rings, algebras and categories—can act by linear transformations on vector spaces or modules. By encoding an ...

String theory began over 50 years ago as a way to understand the strong nuclear force. Since then, it’s grown to become a theory of everything, capable of explaining the nature of every particle, ...

"In the preparation of this book the senior author's earlier Russian book ("Theory of structures,' by S. Timoshenko, 2d ed., St. Petersburg, 1926) was extensively used."--Pref.

In our view, higher-category theory, which possesses the highest degree of abstraction, is a second-level language relative ...