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FSF3701 Coxeter Groups 7.5 credits

Course offerings are missing for current or upcoming semesters.
Headings with content from the Course syllabus FSF3701 (Spring 2019–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Coxeter groups are studied using mainly combinatorial techniques, although connections with other areas will be prevalent. This is a thriving field of research and recent results will be touched upon.

Intended learning outcomes

The theory of Coxeter groups provides a common framework for important classes of groups such as symmetric groups, Weyl groups, reflections groups (finite, affine, hyperbolic) and symmetry groups of regular polytopes.

After passing the course the students will understand, and are able to apply, the theory in Lie theory, algebraic geometry and combinatorial geometry among other subjects

Literature and preparations

Specific prerequisites

A Master degree including at least 30 university credits (hp) in in Mathematics.

Recommended prerequisites

No information inserted

Equipment

No information inserted

Literature

A. Björner and F. Brenti, Combinatorics of Coxeter groups, Graduate Texts in Mathematics 231, Springer, New York, 2005. 

J. E. Humphreys, Reflection groups and Coxeter groups, Cambridge studies in advanced mathematics 29, Cambridge University Press, 1990.

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

P, F

Examination

  • INL1 - Assignment, 7.5 credits, grading scale: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Homework, possibly combined with some seminar/oral assignment.

Other requirements for final grade

Accepted homework and oral presentations.

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

Main field of study

This course does not belong to any Main field of study.

Education cycle

Third cycle

Add-on studies

No information inserted

Contact

Svante Linusson (linusson@kth.se)

Postgraduate course

Postgraduate courses at SCI/Mathematics