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比利时vs摩洛哥足彩 ,
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

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