The combinatorics of orbital varieties closures of nilpotent order 2 in sln -: art. no. R21

被引:0
|
作者
Melnikov, A [1 ]
机构
[1] Univ Haifa, Dept Math, IL-31905 Haifa, Israel
[2] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel
来源
ELECTRONIC JOURNAL OF COMBINATORICS | 2005年 / 12卷 / 01期
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider two partial orders on the set of standard Young tableaux. The first one is induced to this set from the weak right order on symmetric group by Robinson-Schensted algorithm. The second one is induced to it from the dominance order on Young diagrams by considering a Young tableau as a chain of Young diagrams. We prove that these two orders of completely different nature coincide on the subset of Young tableaux with 2 columns or with 2 rows. This fact has very interesting geometric implications for orbital varieties of nilpotent order 2 in special linear algebra sl(n).
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页数:20
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