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Everything about Group representation
Group homomorphism into the general linear group over a vector space
In the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector space to itself ; in particular, they can be used to represent group elements as invertible matrices so that the group operation can be represented by matrix multiplication. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Group representationA 5-minute orientation
- Skim a recent paper: Low-Rankness Guided Group Sparse Representation for Image RestorationInfluential work since 2022
- Pick up a classic book: Pseudoreductive GroupsThe most-reprinted book on the subject
- Read the landmark paper: Informationally complete measurements and group representationCited 108 times
- Go sideways: Representation theoryA closely related topic
- Go sideways: Projective representationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Informationally complete measurements and group representation
The Spin Representation of the Symmetric Group
An octonionic representation of the Poincaré group
Multi-view group representation learning for location-aware group recommendation
Whose equality? Measuring group representation
The representation theory of the icosahedral group
Representation of Space Group O
Optical finite representation of the Lorentz group
🆕 Influential since 2022
Low-Rankness Guided Group Sparse Representation for Image Restoration
Group SELFIES: a robust fragment-based molecular string representation
Robust Unsupervised Feature Selection via Multi-Group Adaptive Graph Representation
Fair Representation: Guaranteeing Approximate Multiple Group Fairness for Unknown Tasks
Spatio-Temporal Graph Representation Learning for Fraudster Group Detection
📚 Books worth reading
Pseudoreductive GroupsBrian Conrad · 2010
Représentations linéaires des groupes finisJean-Pierre Serre · 1967
Presentations of groupsD. L. Johnson · 1976
Republic at RiskWalter J. Stone · 1989
SL₂(R)Serge Lang · 1975- 📕Linear Algebra and Group RepresentationsRonald Shaw · 1982
- 📕Representation Theory of Symmetric GroupsPierre-Loic Meliot · 2017
Representations of compact Lie groupsTheodor Bröcker, T. Bröcker · 1985
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Character theory In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element…
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