The young diagrams of a pair of irreducible characters of Sn with the same zero set on Snɛ

被引：0

作者：

V. A. Belonogov

机构：

[1] Mathematics and Mechanics Institute,

来源：

Siberian Mathematical Journal | 2008年 / 49卷

关键词：

symmetric group; irreducible character; zero of a character; Young diagram;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In studying the pairs of irreducible characters of the symmetric group Sn with the same zero set on An or Sn ∖ An (as well as the pairs of irreducible characters with the same zero set on the alternating group An), the results are important on the connection between the Young diagrams of the characters of these pairs. We prove a theorem that considerably generalizes two previous results of frequent use in this direction.

引用

页码：784 / 795

页数：11

共 21 条

[1] THE YOUNG DIAGRAMS OF A PAIR OF IRREDUCIBLE CHARACTERS OF Sn WITH THE SAME ZERO SET ON Snε
Belonogov, V. A.
SIBERIAN MATHEMATICAL JOURNAL, 2008, 49 (05) : 784 - 795
[2] On the Irreducible Characters of the Groups Sn and An
V. A. Belonogov
Siberian Mathematical Journal, 2004, 45 : 806 - 820
[3] On the irreducible characters of the groups Sn and An
Belonogov, VA
SIBERIAN MATHEMATICAL JOURNAL, 2004, 45 (05) : 806 - 820
[4] On Irreducible Characters of the Group Sn That Are Semiproportional on An or Sn\An. IV
Belonogov, V. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2009, 267 : S10 - S32
[5] On irreducible characters of the group Sn that are semiproportional on An or SN ∖ An. I
V. A. Belonogov
Proceedings of the Steklov Institute of Mathematics, 2008, 263 : 150 - 171
[6] On Irreducible Characters of the Group Sn That Are Semiproportional on An or SN\An. I
Belonogov, V. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2008, 263 (Suppl 2) : S150 - S171
[7] On irreducible characters of the group Sn that are semiproportional on An or Sn\An. VI
V. A. Belonogov
Proceedings of the Steklov Institute of Mathematics, 2011, 272 : 14 - 35
[8] Irreducible characters of the group Sn that are semiproportional on An
V. A. Belonogov
Algebra and Logic, 2008, 47 : 77 - 90
[9] On irreducible characters of the group Sn that are semiproportional on An or Sn\An. IV
V. A. Belonogov
Proceedings of the Steklov Institute of Mathematics, 2009, 267 (Suppl 1) : 10 - 32
[10] On irreducible characters of the group Sn that are semiproportional on An or Sn∖An. II
V. A. Belonogov
Proceedings of the Steklov Institute of Mathematics, 2009, 264 : 60 - 71

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