Research
Title : | Structure Theory of Unitary Groups and it's Generalizations |
Area of research : | Mathematical Sciences |
Focus area : | Algebra and Group Theory |
Principal Investigator : | Dr. Ambily AmbattuAsokan, Cochin University Of Science And Technology, Kochi, Kerala |
Timeline Start Year : | 2023 |
Timeline End Year : | 2026 |
Contact info : | aaambily@gmail.com |
Equipments : | High End Workstation computer |
Details
Executive Summary : | The classical group theory, developed in the 1960s, has expanded into larger groups and rings. This study focuses on unitary groups, which are isometry groups of generalized quadratic forms. The focus is on odd unitary groups over form rings, introduced by V. Petrov in 2005. These groups are generalizations of conventional classical groups and have elementary transformations called Eichler transformations. The structure theory of odd unitary groups is studied, with comparisons made between the DSER elementary orthogonal group and Petrov's odd unitary group. The Steinberg group associated with these groups is also studied. The definition of Petrov's odd unitary group is also generalized. |
Total Budget (INR): | 16,10,400 |
Organizations involved
Implementing Agency : | Cochin University Of Science And Technology, Kerala Funding Agency :Anusandhan National Research Foundation/ Science and Engineering Research Board | Source :Anusandhan National Research Foundation/Science and Engineering Research Board (SERB), DST 2023-24 | |