241060 Proseminar Coxetergruppen und ihre Kombinatorik (PS) (SoSe 2015)

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Coxetergruppen sind Gruppen, die durch (abstrakte) Spiegelungen definiert sind. Sie spielen in verschiedensten Teilgebieten der Algebra, Geometrie und Topologie eine zentrale Rolle. Beispiele umfassen die Symmetriegruppen regulaerer Polyeder, euklidische Spiegelungsgruppen und Weylgruppen einfacher Liescher Algebren.

Wir wollen uns im Seminar zuerst die Fundamente der Theorie der Coxetergruppen erarbeiten (etwa ausgehend von Humphreys Buch [H]) und uns dann auf die kombinatorischen Aspekte von Coxetergruppen fokussieren, wobei wir Themen aus dem Buch [BB] von Bjoerner und Brenti aufgreifen.

Requirements for participation, required level

Das Seminar richtet sich an alle Interessierten mit Grundkenntnissen der Linearen Algebra.

Bibliography

  • A. Bjoerner, F. Brenti, Combinatorics of Coxeter Groups, Graduate Texts in Mathematics 231, Springer Verlag, 2005.
  • J.E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge studies in advanced mathematics 29, Cambridge University Press, 1990.

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Subject assignments

Module Course Requirements  
24-E Ergänzungsmodul Mathematik Proseminar Study requirement
Ungraded examination
Student information

The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.

Degree programme/academic programme Validity Variant Subdivision Status Semester LP  
Mathematik / Diplom (Enrollment until SoSe 2008) Wahlpflicht 3. 4.  
Mathematik (Gym/Ge als zweites U-Fach) / Master of Education (Enrollment until SoSe 2014) Wahl 3.  
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Limitation of the number of participants:
Limited number of participants: 15
Address:
SS2015_241060@ekvv.uni-bielefeld.de
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Last update basic details/teaching staff:
Friday, December 11, 2015 
Last update times:
Monday, February 23, 2015 
Last update rooms:
Monday, February 23, 2015 
Type(s) / SWS (hours per week per semester)
proseminar (PS) / 2
Department
Faculty of Mathematics
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