Klostermann, Inka
(2011).
Generalization of the Macdonald formula for Hall-Littlewood polynomials.
PhD thesis, Universität zu Köln.
![[thumbnail of DissInkaKlostermannohneLebenslauf.pdf]](http://kups.ub.uni-koeln.de/style/images/fileicons/application_pdf.png "DissInkaKlostermannohneLebenslauf.pdf") Preview |
PDF
DissInkaKlostermannohneLebenslauf.pdf Download (557kB) |
Abstract
We study the Gaussent-Littelmann formula for Hall-Littlewood polynomials and we develop combinatorial tools to describe the formula in a purely combinatorial way for type An, Bn and Cn. This description is in terms of Young tableaux and arises from identifying one-skeleton galleries that appear in the Gaussent-Littelmann formula with Young tableaux. Furthermore, we show by using these tools that the Gaussent-Littelmann formula and the well-known Macdonald formula for Hall-Littlewood polynomials for type An are the same.
| Item Type: | Thesis (PhD thesis) |
| Translated title: | Title Language Verallgemeinerung der Macdonald Formel für Hall-Littlewood Polynome German |
| Translated abstract: | Abstract Language In dieser Arbeit verleihen wir der Gaussent-Littelmann Formel für Hall-Littlewood Polynome eine rein kombinatorische Gestalt für die Typen An, Bn und Cn indem wir von den in der Formel verwendeten One-Skeleton Galerien zu Young Tableaux übergehen. Mithilfe dieser kombinatorischen Beschreibung zeigen wir weiter, dass die Gaussent-Littelmann Formel und die bekannte Macdonald Formel für Hall-Littlewood Polynome vom Typ An übereinstimmen. German |
| Creators: | Creators Email ORCID ORCID Put Code Klostermann, Inka ikloster@math.uni-koeln.de UNSPECIFIED UNSPECIFIED |
| URN: | urn:nbn:de:hbz:38-44909 |
| Date: | 2011 |
| Language: | English |
| Faculty: | Faculty of Mathematics and Natural Sciences |
| Divisions: | Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute |
| Subjects: | Mathematics |
| Uncontrolled Keywords: | Keywords Language Hall-Littlewood polynomials, symmetric polynomials English |
| Date of oral exam: | 8 December 2011 |
| Referee: | Name Academic Title Littelmann, Peter Prof. Dr, |
| Refereed: | Yes |
| URI: | http://kups.ub.uni-koeln.de/id/eprint/4490 |
Downloads
Downloads per month over past year
Export
Actions (login required)
 |
View Item |