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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2020/2021

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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Introduction to Lie Groups (MATH11053)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 11 (Year 4 Undergraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
SummaryCourse for final year students in Honours programmes in Mathematics.

Matrix groups: the general and special linear groups and subgroups preserving bilinear forms. The Lie algebra of a matrix group: the exponential map. Transformation groups: the group acting on itself and on its Lie algebra: the adjoint representation. Quaternions.
Course description Not entered
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: Algebra (MATH10021)
Co-requisites
Prohibited Combinations Other requirements None
Information for Visiting Students
Pre-requisitesNone
High Demand Course? Yes
Course Delivery Information
Not being delivered
Learning Outcomes
On completion of this course, the student will be able to:
  1. Understand matrix groups and their Lie algebras, as an application of linear algebra.
  2. Understand transformation groups and the notion of invariance.
  3. Gain an appreciation of the interplay between different areas of mathematics in the setting of matrix groups.
Reading List
None
Additional Information
Course URL https://info.maths.ed.ac.uk/teaching.html
Graduate Attributes and Skills Not entered
KeywordsLie
Contacts
Course organiserProf Josť Figueroa-O'Farrill
Tel: (0131 6)50 5066
Email: j.m.figueroa@ed.ac.uk
Course secretaryMrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk
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