A bijection between Littlewood-Richardson tableaux and rigged configurations


Hokkaido University \| Library \| HUSCAP	Advanced Search		言語

	Home
	About HUSCAP
	Open Access Policy

	Browse by Author

Browse
	Communities & Collections

	Scholarly Journals
	Theses
	Doctoral Dissertations Listed by Graduate Schools
	Conference Procs.
	Events

	HUSCAP Senior (in Japanese)

	Societies

	Downloads (country)

For university staff
	How to post your papers to HUSCAP
	Publication of theses
	Helpline about theses publication

Open Archives Compliant

You can search our collection also at:
	Google
	Google Scholar
	CiNii
	IRDB
	OAIster
	NDLTD

Files in This Item:

pre441.pdf

3.09 MB

PDF

Please use this identifier to cite or link to this item:https://doi.org/10.14943/83587

Title:	A bijection between Littlewood-Richardson tableaux and rigged configurations
Authors:	Kirillov, A. N Browse this author
	Schilling, A. Browse this author
	Shimozono, M. Browse this author
Keywords:	Littlewood-Richardson tableaux
	rigged configurations
	generalized Kostka polynomials
Issue Date:	1-Jan-1999
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	441
Start Page:	1
End Page:	66
Abstract:	We define a bijection from Littlewood-Richardson tableaux to rigged configurations and show that it preserves the appropriate statistics. This proves in particular a quasi-particle expression for the generalized Kostka polynomials' K􀀸R(q) labeled by a partition >. and a sequence of rectangles R. The generalized Kostka polynomials are q-analogues of multiplicities of the irreducible GL(n, C)-module V􀀸 of highest weight >. in the tensor product yRi ® ••• ® yR£.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69191
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

OAI-PMH ( junii2 , jpcoar_1.0 )

- Hokkaido University