Search results
Results from the WOW.Com Content Network
Social representation theory is a body of theory within social psychology and sociological social psychology. It has parallels in sociological theorizing such as social constructionism and symbolic interactionism , and is similar in some ways to mass consensus and discursive psychology .
Collective representations are concepts, ideas, categories and beliefs that do not belong to isolated individuals, but are instead the product of a social collectivity. [1] Émile Durkheim (1858-1917) originated the term "collective representations" to emphasise the way that many of the categories of everyday use–space, time, class, number etc–were in fact the product of collective social ...
A sociological theory is a supposition that intends to consider, analyze, and/or explain objects of social reality from a sociological perspective, [1]: 14 drawing connections between individual concepts in order to organize and substantiate sociological knowledge.
Brauer's first main theorem (Brauer 1944, 1956, 1970) states that if is a finite group and is a -subgroup of , then there is a bijection between the set of (characteristic p) blocks of with defect group and blocks of the normalizer () with defect group D.
Representation theory is a useful method because it reduces problems in abstract algebra to problems in linear algebra, a subject that is well understood. [ 5 ] [ 6 ] Representations of more abstract objects in terms of familiar linear algebra can elucidate properties and simplify calculations within more abstract theories.
(1) Rational Choice Theory and James S. Coleman: After his 1964 pioneering Introduction to Mathematical Sociology, Coleman continued to make contributions to social theory and mathematical model building and his 1990 volume, Foundations of Social Theory was the major theoretical work of a career that spanned the period from 1950s to 1990s and ...
In mathematics, the Borel–Weil–Bott theorem is a basic result in the representation theory of Lie groups, showing how a family of representations can be obtained from holomorphic sections of certain complex vector bundles, and, more generally, from higher sheaf cohomology groups associated to such bundles.
In Lie theory and representation theory, the Levi decomposition, conjectured by Wilhelm Killing [1] and Élie Cartan [2] and proved by Eugenio Elia Levi (), states that any finite-dimensional Lie algebra g over a field of characteristic zero is the semidirect product of a solvable ideal and a semisimple subalgebra.