\(p\)-saturations of Welter's game and the irreducible representations of symmetric groups

DOI10.1007/s10801-017-0799-6zbMath1418.91112arXiv1604.07214OpenAlexW2343259151MaRDI QIDQ1631377

Yuki Irie

Publication date: 6 December 2018

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07214

zbMATH Keywords

irreducible representationsymmetric groupcombinatorial gameSprague-Grundy function\(p\)-core

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Combinatorial games (91A46)

Related Items (4)

The Sprague-Grundy functions of saturations of misère Nim ⋮ A base-p Sprague-Grundy type theorem for p-calm subtraction games: Welter's game and representations of generalized symmetric groups ⋮ Sprague-Grundy values and complexity for LCTR ⋮ Unnamed Item

Cites Work

• Dynkin diagram classification of \(\lambda\)-minuscule Bruhat lattices and of \(d\)-complete posets
• Minuscule elements of Weyl groups, the numbers game, and \(d\)-complete posets
• McKay numbers and heights of characters.
• Some combinatorial results involving Young diagrams
• On the Degrees of the Irreducible Representations of Symmetric Groups
• The Hook Graphs of the Symmetric Group
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