A generalized Berele-Schensted algorithm and conjectured young tableaux for intermediate symplectic groups

A generalized Berele-Schensted algorithm and conjectured young tableaux for intermediate symplectic groups
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广义Berele-Schensted算法和中间辛群的年轻画面猜想

DOI:
10.1090/s0002-9947-1991-0989583-x
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发表时间:
1991
影响因子:
1.3
通讯作者:
Robert A. Proctor
Robert A. Proctor
中科院分区:
数学1区
文献类型:
--
作者:
Robert A. Proctor

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. Schensted和Berele算法组合地模拟(5J)V相对于GL 1和Sp2n的分解。在这里,我们提出了一个算法,这是一个共同的推广这两个算法。定义了“中间辛群”Sp2n m。这些群在GL^和Sp^之间插值。我们推测,有一个分解<g>V关于Sp2,这是由新算法的输出描述。
. The Schensted and Berele algorithms combinatorially mimic the de-compositions of (5J) V with respect to GL^ and Sp2n . Here we present an algorithm which is a common generalization of these two algorithms. "Intermediate symplectic groups" Sp2n m are defined. These groups interpolate between GL^ and Sp^ . We conjecture that there is a decomposition of <g> V with respect to Sp2 which is described by the output of the new algorithm.
DOI: --
发表时间: 2005
期刊:
影响因子: --
作者:
T. Kobayashi;T. Oshima
通讯作者: T. Oshima