Littelmann Paths

One of the topics of this semester's seminar will be a reading course dealing with "Littelmann Paths", based on the following papers:

P. Littelmann: A plactic algebra for semisimple Lie algebras, Advances in Mathematics 124 (1996), pp. 312-331
P. Littelmann: Paths and root operators in representation theory, Annals of Mathematics 142, 1995, pp. 499-525.
P. Littelmann: A Littlewood-Richardson type rule for symmetrizable Kac-Moody algebras, Inventiones mathematicae 116 (1994)
P. Littelmann: The path model of representations, Proceedings of the ICM Z

We start with this paper, here is the first list of lectures:

Paths and roots	Daiva Pucinskaite	3.11.2006 (and 8.12.2006)
Lakshmibai-Seshadri paths	Dorothea Jolk	8.12.2006
Some integrality properties	Philipp Fahr	8.12.2006
The action on the Lakshmibai-Seshadri paths	Angela Holtmann	22.12.2006
The character formula	Nils Mahrt
The decomposition formulas	Andre Beineke
A new proof of the P-R-V conjecture	Jean Marie Bois
Some concluding remarks and conjectures	Andrew Hubery

Further lectures will be devoted to the relationship between Littelmann paths and Brownian paths, see P. Biane, P. Bougerol, N. O'connell.

Last modified: Tue Nov 25 12:44:26 CET 2003