representation theory

representation theory

[‚rep·ri‚zen′tā·shən ‚thē·ə·rē]
(mathematics)
The study of groups by the use of their representations.
The determination of representations of specific groups.
(quantum mechanics)
Quantum-mechanical device in which one selects the common eigenfunctions of a complete set of quantum-mechanical operators as a basis of vectors in a Hilbert space, and expresses wave functions and operators in terms of column matrices and square matrices, respectively, which correspond to this basis.
References in periodicals archive ?
Berkovich, Kazarin, and Zhmud' introduce character theory and its applications in the representation theory of finite groups to people with a comparatively modest mathematical background, exceeding the usual algebra course only with a knowledge of finite groups, even if a superficial knowledge.
Objective: The langlands programme is a far-reaching web of conjectural or proven correspondences joining the fields of representation theory and of number theory.
This was an important step in order to make partial representations an interesting tool for representation theory.
16) Therefore, unveiling the subjective dimension, using the Social Representation Theory, allows to recognize and value the cognitive aspect of the individual, according to this perspective interferes in social practices, attitudes, and behaviors related to the representation object.
and Iruing R, Representation Theory of Finite Groups and Associative Algebra, John Wiley and Sons (1962).
Can we merge the Representation theory [9 ]with Neutrosophy for a new theory ?
Tilting theory plays an important role in the modern representation theory of algebras.
In line with the social representation theory (SRT; Moscovici, 1961, 2008), and the central core theory (CCT; Abric, 1993, 2001; Rateau, Moliner, Guimelli & Abric, 2011), the hypothesis that the emotional unconscious context changes will differentially affect the elements of the SR function to their structural status (central vs.
Hiraku NAKAJIMA for "Geometric Representation Theory and Mathematical Physics"
Waterman's interest in social representation theory is indebted to the work of Serge Moscovici, but the contributions of Emile Durkheim, Antonio Gramsci and others cannot be overlooked.
Established to honor the contribution of Maurice Auslander to representation theory of Artin algebras, this international conference takes place yearly.

Full browser ?