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Algebraic Analysis and Representation Theory Lab
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The lab studies representation theory and special functions using algebraic analysis.
AboutAbout the lab
Exploring representation theory and special functions through the methods of algebraic analysis.
Prof. Ochiai's lab conducts research specializing in algebraic analysis, centered on mathematics and the mathematical sciences.
The lab mainly investigates special functions that appear in representation theory.
The lab belongs to the Institute of Mathematics for Industry and also supervises graduate students of the Graduate School of Mathematics.
As part of the results of joint research with industry, the lab received the Prize for Science and Technology in the Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology in 2014, together with its collaborators.
Key terms
- Algebraic analysis
- A field of mathematics that investigates analytic problems, such as differential equations, using algebraic methods
- Representation theory
- A field of mathematics that studies objects with symmetry by replacing them with linear actions such as matrices
- Special functions
- Named, special functions that frequently appear in mathematical and physical problems
ResearchResearch themes
The lab studies representation theory and special functions using the methods of algebraic analysis. Special functions that appear in representation theory are at the center of its research.
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MembersFaculty
- ProfessorHiroyuki Ochiai
VoicesStudent voices
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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: “Asymptomatic and special functions by Oliver F.W.J” Mahi zahidi / CC BY-SA 4.0 (cropped)
- Representation Theory and Special Functions via Algebraic Analysis: “Chladni Plate Pattern 2” Revisorius / CC BY-SA 4.0 (cropped)
- Related lab (Algebraic Analysis and Representation Theory Lab): “Gamma abs 3D” Geek3 / CC BY-SA 3.0 (cropped)
- Related lab (Applied Algebra and Mathematical Crystallography Lab): “Simple Cubic Lattice (Brillouin zone)” Auro69 at en.wikipedia / Public domain (cropped)
- Related lab (Applied Algebra and Mathematical Crystallography Lab): “Rendering of quasicrystal structure” LinKayser / CC BY-SA 4.0 (cropped)
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