Algebra Seminar

Jeremy Edison
"Invertible and I2 Bases for Field Extensions"

     An algebra $A$ over a field $\mathbb{K}$ is said to be invertible if it has a basis $\mathcal{B}$ consisting solely of units.  If $\mathcal{B}$ is an invertible basis such that $\mathcal{B}^{-1}$ is again a basis, $A$ is said to be an I2 algebra.  It is currently not known whether an algebra which is invertible is necessarily I2.  
     If $\mathbb{L}/\mathbb{K}$ is any extension of fields, then $\mathbb{L}$ is clearly an invertible $\mathbb{K}$ algebra. In this talk we prove that if $\mathbb{K}$ is infinite, then $\mathbb{L}$ is in fact an I2 algebra.

Event Date: 
February 12, 2018 - 3:30pm to 4:30pm
214 MLH
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