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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Their focus is on recent developments in the model theory of modules, as well as the broad influence-sometimes explicit, sometimes implicit-that the theory has had on the representation theory of algebras and certain regions of category theory.
Venkatesh was awarded the prize for his work in analytic number theory, homogeneous dynamics, topology, and representation theory. The Institute for Advanced Study said he works"at the intersection of analytic number theory, algebraic number theory, and representation theory."
His research focuses on geometric representation theory and the core of his work is also communicating research and maths, publishing in both English and Welsh.
Silvestrov, "Quasi-Lie algebras," in Non-commutative Geometry and Representation Theory in Mathematical Physics, vol.
This was an important step in order to make partial representations an interesting tool for representation theory. The category of partial modules has a monoidal structure which was not observed in the previous works for the group case.
Now in this paper, we study the Dirac oscillator in noncommutative phase space within the framework of representation theory of the sl(2) Lie algebra.
and Iruing R, Representation Theory of Finite Groups and Associative Algebra, John Wiley and Sons (1962).
(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.
Can we merge the Representation theory [9 ]with Neutrosophy for a new theory ?
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.

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