LAB LOGA page on LabLog, a review site (not the lab's official page)
Representation Theory and Infinite-Dimensional Integrable Systems Lab
Machine-translated · View original
Research on the representation theory of quantum groups, algebraic structures that resemble groups.
AboutAbout the lab
Exploring quantum groups, algebraic structures resembling groups
Prof. Hayashi studies quantum groups and their representation theory.
A quantum group is not a group, but if you look at it with a generous mind, it is an algebraic structure that is not entirely unlike a group.
Quantum groups are deeply connected with many areas of mathematics, including mathematical physics, low-dimensional topology, combinatorics, and operator algebras.
In recent years, Prof. Hayashi has been generalizing quantum groups further and exploring new connections with the representation theory of classical groups.
Key terms
- Quantum group
- An algebraic structure that is not a group but is not entirely unlike one. It is also related to fields such as mathematical physics and low-dimensional topology
- Representation theory
- A field that studies groups and algebras by representing them concretely as matrices or as transformations of vector spaces
- Tensor category
- A category equipped with a tensor product (a way of combining objects with each other)
ResearchResearch themes
Quantum groups and their representation theory are at the center of the lab's research. The aim is to generalize quantum groups further and obtain new connections with the representation theory of classical groups.
View More ↗
MembersFaculty
- Associate ProfessorTakahiro Hayashi
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 Representation Theory and Infinite-Dimensional Integrable Systems Lab
Combinatorics and Representation Theory LabSchool of Science, Department of MathematicsResearch at the intersection of combinatorics and representa…
Arano LabSchool of Science, Department of MathematicsQuantum groups in the operator-algebraic sense, as group str…
Algebraic Geometry, Representation Theory, Infinite-Dimensional Integrable Systems, and Mathematical Physics Lab (Shintaro Yanagida)School of Science, Department of MathematicsAlgebraic geometry of moduli spaces, structure theory and re…
Commutative Algebra, Ring Theory, and Representation Theory LabSchool of Science, Department of MathematicsModern commutative ring theory is closely related to algebra…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: “Dynkin diagram Dn” Rogilbert / Public domain (cropped)
- Representation Theory of Quantum Groups: “Alahambra2 Alicatado” Patrick.charpiat / CC BY 3.0 (cropped)
- Related lab (Combinatorics and Representation Theory Lab): “Line in combinatorics” Tensorproduct / CC BY-SA 4.0 (cropped)
- Related lab (Arano Lab): “Mathematics lecture notes, Mathematical analysis, Linear algebra, Rostov-on-Don, Russia” Vyacheslav Argenberg / CC BY 4.0 (cropped)
- Related lab (Algebraic Geometry, Representation Theory, Infinite-Dimensional Integrable Systems, and Mathematical Physics Lab (Shintaro Yanagida)): “Truncated icosahedron cherry model by George W. Hart” George W. Hart / CC BY-SA 4.0 (cropped)
- Related lab (Commutative Algebra, Ring Theory, and Representation Theory Lab): “Tensor product of algebras” Jakob.scholbach / CC BY-SA 4.0 (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.