SMS scnews item created by Anthony Henderson at Mon 6 Aug 2007 1317
Type: Seminar
Distribution: World
Expiry: 17 Aug 2007
Calendar1: 17 Aug 2007 1205-1255
CalLoc1: Carslaw 373
CalTitle1: Algebra Seminar: Glasby -- Writing projective representations over subfields
Auth: anthonyh@asti.maths.usyd.edu.au

Algebra Seminar

Writing projective representations over subfields

Stephen Glasby

17th August, 12:05-12:55pm, Carslaw 373


Abstract

Let F be a subfield of a field E, and let A be an F-subalgebra of the full matrix algebra, M(d,E), of dd matrices over E. When is A conjugate to a subalgebra of M(d,F) modulo scalar matrices in E? If so, how does one find a conjugating matrix? These question arise naturally, and commonly, when computing with matrix groups and algebras. Two different solutions will be presented: one related to a noncommutative version of Hilbert's Satz 90, and one related to the MeatAxe algorithm. The talk will be elementary, and will include simple examples.


After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

Anthony Henderson anthonyh@maths.usyd.edu.au.



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