Structure Theory of Unitary Groups and it's Generalizations
Implementing Organization
University of Science and Technology
Principal Investigator
Dr. Ambily AmbattuAsokan
University of Science and Technology
About
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.
Source
Source
Anusandhan National Research Foundation/Science and Engineering Research Board (SERB), DST 2023-24
Science and Engineering Research Board (SERB), New Delhi
Anusandhan National Research Foundation (ANRF)
Quick Information
Area of Research
Mathematical Sciences
Focus Area
Algebra and Group Theory
Start Year
2023
End Year
2026
Sanction Amount
₹ 16.10 L
Status
Ongoing
Contact
aaambily@gmail.com
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
00
No. of Patents
Filed :00
Grant :00
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