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Everything about Projective representation
Map from algebra to geometric transforms
In the field of representation theory in mathematics, a projective representation of a group G on a vector space V over a field F is a group homomorphism from G to the projective linear group where GL(V) is the general linear group of invertible linear transformations of V over F, and F∗ is the normal subgroup of consisting of nonzero scalar multiples of the identity transformation (see Scalar transformation). Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Projective representationA 5-minute orientation
- Skim a recent paper: Projective Multi-view Clustering with Tensor Low-rank RepresentationInfluential work since 2022
- Pick up a classic book: Ways of SeeingThe most-reprinted book on the subject
- Read the landmark paper: Planar object recognition using projective shape representationCited 106 times
- Go sideways: Representation of a Lie groupA closely related topic
- Go sideways: Group representationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Planar object recognition using projective shape representation
Fast subspace clustering by learning projective block diagonal representation
The Representation of Projective Spaces
Phase Retrievable Projective Representation Frames for Finite Abelian Groups
Planar shape representation and matching under projective transformation
Robust auto-weighted projective low-rank and sparse recovery for visual representation
Coherent states and projective representation of the linear canonical transformations
Projective Representation of Algebraic Linear Groups of Transformations
🆕 Influential since 2022
Projective Multi-view Clustering with Tensor Low-rank Representation
Eigenstate Thermalization Hypothesis with projective representation
On representation-finite gendo-symmetric algebras with only one non-injective projective module
Projective representation theory for compact quantum groups and the quantum Baum–Connes assembly map
Neural Network-Based Projective Grid Model for Learning Representation of Surface and Wave Foams
📚 Books worth reading
Ways of SeeingJohn Berger · 1972
Map projectionsErik W. Grafarend · 2006- 📕Legislators and Representation in Sri LankaRobert C. Oberst · 2019
Legitimacy of Citizen-led Deliberative DemocracyDidier Caluwaerts, Min Reuchamps · 2018
Linear and Projective Representations of Symmetric GroupsAlexander Kleshchev · 2005
Continuous and discrete modulesSaad H. Mohamed · 1990
Einführung in die theorie der isogonalen verwandtschaften und der conformen abbildungenGustav Holzmüller · 1882- 📕Datums and Map ProjectionsJonathan Iliffe, Roger Lott · 2008
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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