Algebraic representation theory and cluster categories constitute a vibrant research area that bridges abstract algebra, category theory and combinatorics. In this field, algebraic structures are ...

Homological algebra and representation theory form a powerful confluence in modern mathematics. Homological algebra provides a framework for analysing algebraic structures via chain complexes, ...

Algebra teachers should show students both correctly and incorrectly solved problems and have students discuss them, according to a new algebra practice guide published by the U.S. Department of ...

Interactions between theoretical computer science and mathematics (particularly algebraic geometry, representation theory, and group theory). In particular, this currently involves studying orbit ...

We suggest a purely algebraic construction of the spin representation of an infinite-dimensional orthogonal Lie algebra (sections 1 and 2) and a corresponding group (section 4). From this we deduce a ...

Multidimensional signal representation by zero crossings arises in many problems in physics and engineering. Its applications span several areas such as signal modulation, computer vision, and data ...