Meaning of representation theory | Babel Free

Definitions

A branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.

countable, uncountable

Examples

“1989 [Clarendon Press⟳], Robert J. Baston, Michael G. Eastwood, The Penrose Transform⟳: Its Interaction with Representation Theory, 2016 Dover edition.”

“2005, Andrea Brini, Francesco Regonati, Antonio Teolis, Combinatorics and Representation Theory of Lie⟳ Superalgebras over Letterplace Superalgebras, Hongbo Li, Peter J. Olver, Gerald Sommer (editors), Computer Algebra and Geometric Algebra with Applications: 6th International Workshop IWWM and International Workshop GIAE, Springer, LNCS 3519, page 239, As an application, we describe⟳ in detail the way to specialize general results to the representation theory of the symmetric group and to classical invariant theory.”

“From his numerous contributions through research⟳ articles, books, and conference volumes we just mention⟳ his^([Vlastimil Dlab's]) work⟳ on the representation theory of hereditary algebras in the mid-seventies of the last⟳ century, joint with C.M. Ringel, laying the foundations of, in particular, tame hereditary representation theory over arbitrary fields, a theory still at the centre of interest⟳.”

CEFR level