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Symmetry in Newcastle, Monday 7th June 2021

June 7 @ 4:30 pm - 5:30 pm

Symmetry in Newcastle seminar is here again!

The confirmed speakers for next Monday are Waldemar Hołubowski, Silesian University of Technology.
Feel free to grab a beverage appropriate for your respective timezone and join us for a friendly chat after the talk!

The talks will be recorded and made available on our YouTube channel https://tinyurl.com/zerodimensionalgroup and our website https://zerodimensional.group/. The running time of the talk, title and abstract are as follows

Date: 7 June 2021       Time: 16:30–17:30 AEST (06:30–07:30  UTC)
Speaker: Waldemar Hołubowski
Title: Normal subgroups in the group of column-finite infinite matrices

Abstract: The classical result, due to Jordan, Burnside, Dickson, says that every normal subgroup of GL(nK) (K – a field, ≥ 3) which is not contained in the center, contains SL(nK). A.Rosenberg gave description of normal subgroups of GL(V), where V is a vector space of any infinite cardinality dimension over a division ring. However, when he considers subgroups of the direct product of the center and the group of linear transformations g such that g-idV has finite dimensional range the proof is not complete. We fill this gap for countably dimensional V giving description of the lattice of normal subgroups in the group of infinite column-finite matrices indexed by positive integers over any field. Similar results for Lie algebras of matrices will be surveyed.

This is based on results presented in https://arxiv.org/abs/1808.06873 and https://arxiv.org/abs/1806.01099.

(joint work with Martyna Maciaszczyk and Sebastian Zurek.)

 

The zoom link is https://uonewcastle.zoom.us/j/82596235512.

 

Hope to see some of you on Monday!

Michal

Details

Date:
June 7
Time:
4:30 pm - 5:30 pm
Event Category:
View Event Website

Organizer

Michal Ferov
Email:
michal.ferov@newcastle.edu.au

Details

Date:
June 7
Time:
4:30 pm - 5:30 pm
Event Category:
View Event Website

Organizer

Michal Ferov
Email:
michal.ferov@newcastle.edu.au