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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 211A: Seminar in Algebra
Dr. Aryaman Maithani
University of Utah
Polynomial invariants of ${\rm GL}_2$: conjugation over finite fields
Abstract:
Consider the conjugation action of \({\rm GL}_2(K)\) on the polynomial ring \(K[X_{2\times 2}]\). When \(K\) is an infinite field, the ring of invariants is a polynomial ring generated by the trace and the determinant. We describe the ring of invariants when \(K\) is a finite field, and show that it is a hypersurface.
Hosts: Karthik Ganapathy and Steven Sam
February 24, 2025
3:00 PM
APM 7321
Research Areas
Algebra****************************
