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...

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

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...

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

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...

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

Least-squares spectral analysis Representation theory of finite groups Character theory Walters, Jackson (2024). "What is the Modular Fourier Transform?". arXiv:2404...

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...

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...

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

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

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...

Cauchy's theorem (group theory) P-group List of small groups Representation theory of finite groups Modular representation theory Monstrous moonshine Profinite...

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

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

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

Galois representation is frequently used when the G-module is a vector space over a field or a free module over a ring in representation theory, but can...

the theory of modules of R[G] is the same as the representation theory of G on R-modules, this fact is an important dichotomy, which causes modular representation...

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

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...

congruence subgroups; in this sense the theory of automorphic forms is an extension of the theory of modular forms. More generally, one can use the adelic...

Jacobson radical, and this gives the corresponding subject of modular representation theory its own, deeper character. The center of the group algebra is...

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

specifically in representation theory, a semisimple representation (also called a completely reducible representation) is a linear representation of a group...

techniques from the modular representation theory of groups, which he later applied to work on cohomology of groups and algebraic K-theory. He also worked...

K. You can say that the regular representation is comprehensive for representation theory, in this case. The modular case, when the characteristic of...

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...