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Communications in Algebra Volume 39, 2011 - Issue 10
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Original Articles

Admissible Pictures and Littlewood–Richardson Crystals

Toshiki Nakashima Department of Mathematics, Sophia University, Chiyoda-ku, Tokyo, JapanCorrespondence[email protected]
&
Miki Shimojo Department of Mathematics, Sophia University, Chiyoda-ku, Tokyo, Japan
Pages 3849-3865 | Received 25 May 2010, Published online: 14 Oct 2011
 
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Abstract

We present a one-to-one correspondence between the set of admissible pictures and the Littlewood–Richardson crystals. As a simple consequence, we shall show that the set of pictures does not depend on the choice of admissible orders.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

First author was supported in part by JSPS Grants in Aid for Scientific Research #19540050.

Notes

Communicated by K. Misra.

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