Klostermann, Inka (2013). Generalization of the Macdonald formula for Hall-Littlewood polynomials. Adv. Math., 248. S. 1366 - 1404. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2082
Full text not available from this repository.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 A(n), B-n and C-n. 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 A(n) are the same up to an additional factorization. (C) 2013 Elsevier Inc. All rights reserved.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-471831 | ||||||||
| DOI: | 10.1016/j.aim.2013.09.002 | ||||||||
| Journal or Publication Title: | Adv. Math. | ||||||||
| Volume: | 248 | ||||||||
| Page Range: | S. 1366 - 1404 | ||||||||
| Date: | 2013 | ||||||||
| Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | ||||||||
| Place of Publication: | SAN DIEGO | ||||||||
| ISSN: | 1090-2082 | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/47183 |
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