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Representation theory studies how algebraic structures 'act' on objects. A simple example is the way a polygon is transformed by its symmetries under reflections and rotations, which are all …
Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for …
Algebras and Representation Theory is a refereed journal focusing on the structure and representation theory of diverse algebras. Covers Lie algebras, superalgebras, rings of …
This textbook introduces the representation theory of algebras by focusing on two of its most important aspects: the Auslander–Reiten theory and the study of the radical of a module …
The goal of this course is to give an undergraduate-level introduction to representation theory (of groups, Lie algebras, and associative algebras). Representation theory is an area of …
May 7, 2025 · Representation theory is incredibly useful, as once something is being represented by matrices, it allows us to apply well-known and widely-used techniques from linear algebra.
Representation theory studies abstract al-gebraic structures by representing their elements as structures in linear algebras, such as vectors spaces and linear transformations between them.
This is a K-algebra with multiplication given by the composition of endomorphims. One often calls End(V ) the endomorphism algebra (or the endomorphism ring) of V .
Perhaps the most well-developed example of this general notion is the subfield of abstract algebra called representation theory, which studies the representing of elements of algebraic structures …
One of the main problems of representation theory is to classify irreducible and indecomposable representations of a given algebra up to isomorphism. This problem is usually hard and often …
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