Functions Assessment Quizzes, Questions & Answers

Also known as the Eckmann–Shapiro Lemma, Shapiro's lemma is useful in numerous areas of the abstract algebra field in mathematics. In the 21st century, Beno Eckmann and Arnold Shapiro individually contributed to the...

In the science of structure, order, and relation otherwise known as mathematics, the field of representation theory encompasses Schur functors, which are particular functors from the classification of modules over a settled...

Schubert variety is a concept primarily used in the algebraic geometry branch of mathematics. It is a particular subvariety of a Grassmannian Gr(k, V), especially with singular points. And varieties classified as Schubert...

Algebraic braic groups mathematician Ichirō Satake introduced Satake isomorphism (along with Satake diagrams) in the early 1960s. It recognizes the Hecke algebra or polynomial math of a reductive group over a local field with a...

When we reunite broken parts (i.e. in algebra), the Auslander–Reiten theory becomes a very useful theory, which — thanks to specific techniques — studies the representation theory of Artinian rings. These...