EPSRC Reference: 
EP/G025487/1 
Title: 
Modular Lie powers and applications 
Principal Investigator: 
Erdmann, Dr K 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
Mathematical Institute 
Organisation: 
University of Oxford 
Scheme: 
Standard Research 
Starts: 
01 January 2009 
Ends: 
28 February 2011 
Value (£): 
130,301

EPSRC Research Topic Classifications: 

EPSRC Industrial Sector Classifications: 
No relevance to Underpinning Sectors 


Related Grants: 

Panel History: 
Panel Date  Panel Name  Outcome 
04 Sep 2008

Mathematics Prioritisation Panel

Announced


Summary on Grant Application Form 
A module, in the sense used here, is a mathematical object consisting of a space and a group acting on the space. For example, we could take ordinary 2dimensional space, choose an axis, that is, a straight line in the space, and then take the set of all possible rotations of 3dimensional space about the axis, by any number of degrees. The set of all these rotations is an example of what mathematicians call a group: the key property is that the result of applying one rotation followed by another is again a rotation (for example, rotation by 20 degrees followed by a rotation by 15 degrees results in a rotation by 35 degrees). Modules are of fundamental importance in mathematics. If we are given a module then there are various natural ways of forming new modules from it. Among these new modules are the socalled Lie powers of the original module. (The construction of these utilise another mathematical object called a Lie algebra.) The purpose of this project is to investigate properties of the Lie powers.

Key Findings 
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Potential use in nonacademic contexts 
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Impacts 
Description 
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Summary 

Date Materialised 


Sectors submitted by the Researcher 
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Project URL: 

Further Information: 

Organisation Website: 
http://www.ox.ac.uk 