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Algebraic Analysis and Representation Theory Lab
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The lab uses methods of algebraic analysis to study representation theory and special functions.
AboutAbout the lab
Exploring representation theory and special functions through algebraic analysis.
The Algebraic Analysis and Representation Theory Lab specializes in algebraic analysis and focuses on special functions that appear in representation theory.
The lab conducts research centered on mathematics and the mathematical sciences.
The lab also carries out joint research with industry. As part of the results, it 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 fiscal 2014, together with its collaborators.
Prof. Ochiai's website also has a page that explains the ABC conjecture in a way that even elementary school students can understand.
Key terms
- Algebraic analysis
- A field of mathematics that studies differential equations and similar objects using tools from algebra.
- Representation theory
- A field of mathematics that studies symmetries, such as those of groups, by using matrices.
- Special functions
- Specially named functions that frequently appear in problems in mathematics and physics.
ResearchResearch themes
The lab uses methods of algebraic analysis to study representation theory and special functions, focusing in particular on special functions that appear in representation theory.
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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: “Gamma abs 3D” Geek3 / CC BY-SA 3.0 (cropped)
- Representation Theory and Special Functions via Algebraic Analysis: “Mathematical analysis, Linear algebra, Mathematics lecture notes, Rostov-on-Don, Russia” Vyacheslav Argenberg / CC BY 4.0 (cropped)
- Related lab (Algebraic Analysis and Representation Theory Lab): “Asymptomatic and special functions by Oliver F.W.J” Mahi zahidi / CC BY-SA 4.0 (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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