An algebraic character is a formal expression attached to a module in representation theory of semisimple Lie algebras that generalizes the character of...

universal algebra, an algebraic structure is called an algebra; this term may be ambiguous, since, in other contexts, an algebra is an algebraic structure...

finite geometries. Algebraic graph theory Combinatorial commutative algebra Algebraic Combinatorics (journal) Journal of Algebraic Combinatorics Polyhedral...

Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...

theory, an algebraic data type (ADT) is a kind of composite type, i.e., a type formed by combining other types. Two common classes of algebraic types are...

Schmid-Vilonen among others. Character theory Algebraic character Demazure character formula Weyl integration formula Kirillov character formula Hall 2015 Section...

mathematics, an algebraic group is an algebraic variety endowed with a group structure that is compatible with its structure as an algebraic variety. Thus...

In mathematics, an algebraic representation of a group G on a k-algebra A is a linear representation π : G → G L ( A ) {\displaystyle \pi :G\to GL(A)}...

function algebra: A uniform algebra all of whose characters are evaluations at points of X . {\displaystyle X.} C*-algebra: A Banach algebra that is a...

abelian groups. If H is a right module over the ring R, one forms the (algebraic) character module H* consisting of all group homomorphisms from H to Q/Z. This...

coroot lattice. The Weyl character formula of the algebraic characters of the affine Lie algebras generalizes to the Weyl-Kac character formula. A number of...

algebraic Hecke character is a Hecke character taking algebraic values: they were introduced by Weil in 1947 under the name type A0. Such characters occur...

of σ-algebras on a space X . {\displaystyle X.} Meet The intersection of a collection of σ-algebras is a σ-algebra. To emphasize its character as a σ-algebra...

Algebraic graph theory is a branch of mathematics in which algebraic methods are applied to problems about graphs. This is in contrast to geometric, combinatoric...

Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic...

Virasoro algebra. This can be further generalized to supermanifolds. The Virasoro algebra also has vertex algebraic and conformal algebraic counterparts...

considered as belonging to algebra (in fact, every proof must use the completeness of the real numbers, which is not an algebraic property). This article...

generalization of the number zero in algebraic structures Zero object (algebra), generalization of the number zero in algebraic structures Zero object in a category...

reductive group is a type of linear algebraic group over a field. One definition is that a connected linear algebraic group G over a perfect field is reductive...

development has been greatly influenced by problems and ideas of algebraic number theory and algebraic geometry. The simplest commutative rings are those that...

in algebraic terms. The definition of a Lie algebra over a field extends to define a Lie algebra over any commutative ring R. Namely, a Lie algebra g {\displaystyle...

In abstract algebra, an adelic algebraic group is a semitopological group defined by an algebraic group G over a number field K, and the adele ring A...

space. C*-algebras are now an important tool in the theory of unitary representations of locally compact groups, and are also used in algebraic formulations...

Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite fields...

algebraic integer for all x in G. If F is algebraically closed and char(F) does not divide the order of G, then the number of irreducible characters of...

linear algebraic groups over the field of real or complex numbers. (For example, every compact Lie group can be regarded as a linear algebraic group over...

general rings. If H is a left module over the ring R, one forms the (algebraic) character module H* consisting of all abelian group homomorphisms from H to...

calculators with algebraic entry system with parentheses (AESP) support the entry of parentheses. An input scheme known as algebraic operating system...

This is a list of algebraic coding theory topics....

abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures...