A bijection between Littlewood-Richardson tableaux and rigged configurations

Content Provider	Semantic Scholar
Author	Kirillov, Anatol N. Schilling, Anne Shimozono, Mark
Copyright Year	1999
Abstract	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_{\lambda R}(q) $ labeled by a partition $ \lambda $ and a sequence of rectangles R. The generalized Kostka polynomials are q-analogues of multiplicities of the irreducible $ GL(n, \mathbb{C}) $-module $ V^\lambda $ of highest weight $ \lambda $ in the tensor product $ V^{R_1} \otimes \cdots \otimes V^{R_L} $.
Starting Page	67
Ending Page	135
Page Count	69
File Format	PDF HTM / HTML
DOI	10.1007/s00029-002-8102-6
Volume Number	8
Alternate Webpage(s)	https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69191/1/pre441.pdf
Alternate Webpage(s)	http://www.mathe2.uni-bayreuth.de/axel/papers/shimozono:a_bijection_between_littlewood_richardson_tableaux_and_rigged_configurations.pdf
Alternate Webpage(s)	http://www.mathe2.uni-bayreuth.de/axel/papers/kirillov_an:a_bijection_between_littlewood_richardson_tableaux_and_rigged_configurations.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/math.CO/9901037.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/math/9901037v1.pdf
Alternate Webpage(s)	http://www.mathe2.uni-bayreuth.de/axel/papers/schilling:a_bijection_between_littlewood_richardson_tableaux_and_rigged_configurations.pdf
Alternate Webpage(s)	https://arxiv.org/pdf/math/9901037v1.pdf
Alternate Webpage(s)	https://doi.org/10.1007/s00029-002-8102-6
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article