Generalization of the Macdonald formula for Hall-Littlewood polynomials

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

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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 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
Klostermann, Inka	ikloster@math.uni-koeln.de

URN:

urn:nbn:de:hbz:38-44909

Subjects:

Mathematics

Uncontrolled Keywords:

Keywords	Language
Hall-Littlewood polynomials, symmetric polynomials	English

Faculty:

Mathematisch-Naturwissenschaftliche Fakultät

Divisions:

Mathematisch-Naturwissenschaftliche Fakultät > Mathematisches Institut

Language:

English

Date:

2011

Date Type:

Publication

Date of oral exam:

08 December 2011

Full Text Status:

Public

Date Deposited:

12 Jan 2012 15:37

Referee

Name	Academic Title
Littelmann, Peter	Prof. Dr,

URI:

http://kups.ub.uni-koeln.de/id/eprint/4490

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