group representation: meaning, definition, pronunciation and examples
C2Technical / Academic / Political
Quick answer
What does “group representation” mean?
A concept in mathematics, specifically in abstract algebra, where the elements of a group are associated with linear transformations of a vector space (e.
Audio
Pronunciation
Definition
Meaning and Definition
A concept in mathematics, specifically in abstract algebra, where the elements of a group are associated with linear transformations of a vector space (e.g., matrices) in a way that preserves the group's structure.
Any organized presentation or portrayal of the views, interests, or characteristics of a defined collective, particularly in political or social contexts where a body stands for or advocates on behalf of its members.
Dialectal Variation
British vs American Usage
Differences
No significant differences in meaning or form. The socio-political sense may be more frequently discussed in British contexts regarding parliamentary representation.
Connotations
In the UK political context, it often carries connotations related to proportional representation and the representation of minority groups. In the US, it can be associated with lobbying and advocacy groups.
Frequency
The mathematical sense has equal frequency in academic literature globally. The socio-political sense is common in political science discourse in both regions.
Grammar
How to Use “group representation” in a Sentence
the representation of a [GROUP] (e.g., the representation of a minority)a representation of a [GROUP] (e.g., a faithful representation of the symmetry group)Vocabulary
Collocations
Examples
Examples of “group representation” in a Sentence
verb
British English
- The union seeks to group-represent its diverse membership collectively.
- They must group-represent the data before analysis.
American English
- The lobbyist will group-represent several agricultural associations.
- The software is designed to group-represent complex datasets.
adverb
British English
- The interests were group-representationally balanced.
- He argued group-representationally for the coalition.
American English
- The board is structured group-representationally.
- She presented the case group-representationally.
adjective
British English
- The group-representational aspects of the policy were debated.
- They formed a group-representation committee.
American English
- The group-representational framework is outlined in the charter.
- We need a group-representation model for the survey.
Usage
Meaning in Context
Business
Ensuring diverse group representation on the board is a key governance goal.
Academic
Her thesis explores the use of group representation theory in quantum mechanics.
Everyday
We need better group representation in the community council.
Technical
The irreducible group representations of SU(3) classify the possible quark states.
Vocabulary
Synonyms of “group representation”
Neutral
Vocabulary
Antonyms of “group representation”
Watch out
Common Mistakes When Using “group representation”
- Using 'group representation' to mean a 'group photo' or 'group presentation' (a homophone error).
- Confusing 'representation' with 'representativeness'.
- Omitting 'group' before 'representation' in the technical mathematical context, changing the meaning.
FAQ
Frequently Asked Questions
Yes, it is widely used in political science, sociology, and corporate governance to discuss how the interests of a collective are advocated or portrayed.
'Representation' is broader. 'Group representation' is a specific, formal mapping from a group to linear transformations, a core concept in representation theory.
Yes, especially in mathematics (e.g., 'There are three distinct group representations of this symmetry'). In socio-political contexts, it's often uncountable (e.g., 'We need more group representation').
Disambiguation. The translator must identify whether the context is abstract algebra or socio-political discourse, as the translations differ conceptually while often sharing cognate words.
A concept in mathematics, specifically in abstract algebra, where the elements of a group are associated with linear transformations of a vector space (e.
Group representation is usually technical / academic / political in register.
Group representation: in British English it is pronounced /ɡruːp ˌrɛprɪzɛnˈteɪʃən/, and in American English it is pronounced /ɡrup ˌrɛprəzɛnˈteɪʃən/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “fair representation”
- “token representation”
Learning
Memory Aids
Mnemonic
Think: GROUP of people getting RE-PRESENT-ed, like being presented again by someone who stands for them.
Conceptual Metaphor
A VOICE FOR THE MANY (socio-political); A SYMMETRY PATTERN (mathematical).
Practice
Quiz
In a political context, 'group representation' is LEAST likely to refer to: