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Mathematisches Institut der Universität München
- B. Pareigis
Prof. Dr. Bodo Pareigis,
Prof. Dr. Julius Wess
Jones theory II (Jones-Theorie II)
- Summer semester 1998
- Time: Thursday, 3:15 pm
- Room: 251
- Planning session: Thursday, May 7, 1998, 9:15 am, Room 133
- Contents: The seminar deals with Jones' approach to the
so-called Jones polynomial, an invariant of knots discovered by him,
which in contrast to the older Alexander polynomial can distinguish
between a knot and its mirror image. The seminar is a continuation of
the seminar held last semester, however it is also accessible for
newcomers since the topics are largely independent from the material
developed in the previous seminar. The topics discussed include Hecke
algebras, Temperley-Lieb algebras and the traces admitted by these
algebras, which are used in the construction of the Jones polynomial.
The seminar is based on the book:
F. Goodman/P. de la Harpe/V. Jones:
Coxeter graphs and towers of algebras
MSRI Publications 14, Springer, Berlin 1989
Basic knowledge on matrix rings required.
- Seminar program
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