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Kunugi Lab
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An algebra lab that studies representations of finite groups from the viewpoint of module theory.
AboutAbout the lab
Studying representations of finite groups from the viewpoint of modules
Kunugi Lab studies the modular representation theory of finite groups.
A finite group is one of the basic algebraic structures. In its representation theory, one studies the properties of homomorphisms from a given finite group to the group of all invertible matrices.
The lab studies representations over fields of positive characteristic from the viewpoint of module theory, investigating topics such as the categories of modules of blocks of finite groups.
Key terms
- Finite group
- One of the basic algebraic structures. The field that studies its representations is the representation theory of finite groups
- Representation
- A homomorphism from a finite group to the group of all invertible matrices. Representation theory studies its properties
ResearchResearch themes
A finite group is one of the basic algebraic structures, and the representation theory of finite groups studies the properties of its representations. This lab studies representations over fields of positive characteristic from the viewpoint of module theory.
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MembersFaculty
- ProfessorNaoko Kunugi
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Rubiks cube by keqs” Lars Karlsson (Keqs) / CC BY-SA 3.0 (cropped)
- Theory of blocks of finite groups: “Classification of the finite simple groups” Mathsies / CC BY-SA 4.0 (cropped)
- Related lab (吉川研究室): “Goldbach's Prime Triangle” KalGari81 / CC0 (cropped)
- Related lab (木田研究室): “Number line” Phlsph7 / CC BY 4.0 (cropped)
- Related lab (片岡研究室): “2^11213-1 is prime postal meter stamp” Smithsonian Museum of American History / Public domain (cropped)
- Related lab (佐藤研究室): “Barns Wall Lattice by MisakiOhta” Misaki Ohta in Wroclaw / CC BY-SA 4.0 (cropped)
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