Universität zu Köln

Klostermann, Inka (2011). Generalization of the Macdonald formula for Hall-Littlewood polynomials. PhD thesis, Universität zu Köln.

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