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Sagaki Lab
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The lab studies representations of Lie algebras and quantum groups.
AboutAbout the lab
Exploring quantum groups through representation theory and combinatorics
The Sagaki Lab studies the representation theory of Lie algebras and quantum groups, connecting it with combinatorics.
Its research keywords include crystal bases, crystals, path models, and Demazure modules.
Recent co-authored papers include work on quantum K-theory of flag varieties and on Macdonald polynomials.
The faculty list of the Mathematics Degree Program lists Prof. Sagaki as a professor in the Algebra group.
Key terms
- Crystal basis
- A basis of a representation that has good combinatorial properties.
- Crystal
- A realization of a crystal basis in the language of combinatorics.
ResearchResearch themes
The lab studies representations of Lie algebras and quantum groups using tools such as crystal bases, crystals, and path models. Its papers include work on quantum K-theory of flag varieties and on Macdonald polynomials.
View More ↗MembersFaculty
- ProfessorDaisuke Sagaki
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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: “Root system A1xA1xA1” self / Public domain (cropped)
- Related lab (Scott Carnahan 研究室): “Math01” MathKnight ✡ (Talk) No machine-readable author provided. MathKnight assumed (based on copyright claims). / CC BY 2.5 (cropped)
- Related lab (坂本 龍太郎 研究室): “Ulam spiral centred on 41” TrulyBlue / CC BY-SA 4.0 (cropped)
- Related lab (塩谷 真弘 研究室): “Symbolic Logic Carroll” Lewis Carroll / Public domain (cropped)
- Related lab (石井 敦 研究室): “Conway knot” Saung Tadashi / CC BY-SA 4.0 (cropped)
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