LAB LOGA page on LabLog, a review site (not the lab's official page)
Satoh Lab
Machine-translated · View original
A mathematics lab that studies groups and Lie algebras from the field of algebra.
AboutAbout the lab
Studying groups and Lie algebras through algebra.
The Satoh Lab's research fields are algebraic topology, homological algebra, combinatorial group theory, group cohomology, Lie algebra cohomology, and representation theory.
Objects of study include automorphism groups of free groups and others, mapping class groups of surfaces, braid groups, and loop braid groups.
Derivations of free Lie algebras and trace algebras are also objects of study.
Key terms
- Free group
- A group built from a set of generators with no relations imposed. A basic example in group theory
- Mapping class group
- The group formed by collecting the deformations of a surface into a surface, where maps that can be continuously deformed into one another are regarded as the same
- Braid group
- A group whose elements are the ways strands can be tangled (braids). The product is defined by joining strands together
ResearchResearch themes
The lab studies groups and Lie algebras from fields such as homological algebra, group cohomology, and representation theory. Objects of study include automorphism groups of free groups and others, mapping class groups of surfaces, braid groups, derivations of free Lie algebras, and trace algebras.
View More ↗MembersFaculty
- Takao Satoh
VoicesStudent voices
Ratings and reviews reflect the experiences of individual current or former students, not the lab's official views. Whether a lab has reviews, or how many, says nothing about the lab itself.
Students who take part in an interview may receive a thank-you gift worth ¥1,000, regardless of what they say.
Student ratings (0 students)
--
--
--
--
--
--
Student voices answer questions like these
- What's great about this lab?
- What did you learn after joining?
- What's the vibe, and what is the professor like?
- Who is this lab for?
- Where do graduates go?
Your experience can help younger students choose their lab. Your name won't be shown.
Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to Satoh Lab
The information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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: “Barns Wall Lattice by MisakiOhta” Misaki Ohta in Wroclaw / CC BY-SA 4.0 (cropped)
- Related lab (㓛刀研究室): “Rubiks cube by keqs” Lars Karlsson (Keqs) / CC BY-SA 3.0 (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)
About LabLog
LabLog is a lab review app for students only. Student members at each university interview students in labs and publish what they say. Student voices can only be read by students who sign up with a university email address. Operated by bestiee Inc.
Learn more about LabLog ↗Search engines and AI may reference the basic lab info and rating summaries on this page and the description of LabLog. Student voices are for student members only. Automated collection by programs (scraping, or input to or training of AI) is prohibited under Article 8 of the Terms of Service. If you need data for research or analysis, please contact us.