Modular representation theory is a branch of mathematics, and is the part of representation theory that studies linear representations of finite groups...

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of...

In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element...

then this is called modular representation theory; this special case has very different properties. See Representation theory of finite groups. Compact...

the modular representation that modular tensor categories get their name. From the perspective of topological quantum field theory, the modular representation...

the modular group and a growth condition. The theory of modular forms has origins in complex analysis, with important connections with number theory. Modular...

The Brauer Height Zero Conjecture is a conjecture in modular representation theory of finite groups relating the degrees of the complex irreducible characters...

theory was generalized by Richard Brauer from the 1940s to give modular representation theory, in which the matrix operators act on a vector space over a...

soon appreciated. Later Richard Brauer and others developed modular representation theory. Lam 1998. Cayley 1854. Frobenius 1896, Frobenius 1897. Burnside...

finite group theory, character theory (in particular introducing the concept of a coherent set of characters), and modular representation theory. Another...

but made important contributions to number theory. He was the founder of modular representation theory. Alfred Brauer was Richard's brother and seven...

medical condition Block (permutation group theory) Block, in modular representation theory Block, in graph theory, is a biconnected component, a maximal biconnected...

field theory. In the context of quantum field theory, modular tensor categories are used to store algebraic data for rational conformal field theories in...

ideologically close to modular representation theory, is an area of active study, with links to algebraic topology. Invariant theory of infinite groups is...

reciprocity Induced representation Restricted representation Affine representation Projective representation Modular representation theory Quiver (mathematics)...

Schaeffer Fry, proved Brauer's height zero conjecture on the modular representation theory of Brauer blocks and their defect groups. Also in 2024, Tiep...

function Representation theory of finite groups Modular representation theory Frobenius reciprocity Restricted representation Induced representation Peter–Weyl...

Least-squares spectral analysis Representation theory of finite groups Character theory Walters, Jackson (2024), "The Modular DFT of the Symmetric Group"...

groups List of small groups Modular representation theory Monstrous moonshine P-group Profinite group Representation theory of finite groups Aschbacher...

and combinatorics, many problems could now be settled. The modular representation theory entered a new era as the techniques of the classification were...

topology. He researches modular representation theory of finite groups and related questions of algebraic topology, representation theory of finite algebras...

group actions on sets, p-cores and p′-cores are important in modular representation theory, which studies the actions of groups on vector spaces. The p-core...

The representation theory of groups is a part of mathematics which examines how groups act on given structures. Here the focus is in particular on operations...

(who worked on representation theory of finite groups), Richard Brauer's modular representation theory and Issai Schur's papers. The theory of Lie groups...

field level. This technique is applied in algebraic number theory and modular representation theory. Hurwitz quaternion order – An example of ring order Reiner...

Richard Brauer's k(B) Conjecture is a conjecture in modular representation theory of finite groups relating the number of complex irreducible characters...

co-authored a number of papers with Paul Fong in modular representation theory and Deligne–Lusztig theory. Srinivasan was born in Madras, India. She attended...

algebra. Representation theory of groups Representation theory of the Galilean group Representation theory of the Lorentz group Representation theory of the...

This is a glossary of representation theory in mathematics. The term "module" is often used synonymously for a representation; for the module-theoretic...

to as an R=T theorem) to prove modularity lifting theorems has been an influential development in algebraic number theory. Together, the two papers which...