Yuki Irie

I am an assistant professor at RACMaS, Tohoku University.

Email: yirie * tohoku.ac.jp

Keywords: Combinatorial game, Sprague-Grundy function, Representation


Published Work

  1. $p$-Saturations of Welter's game and the irreducible representations of symmetric groups, Journal of Algebraic Combinatorics 48, 247-287(2018), https://doi.org/10.1007/s10801-017-0799-6 (view-only PDF)

    A relation between games and representations is established.


  1. Mixed-Radix Nim, arXiv:1801.00616 [math.CO], Jan. 2019.
  2. $\beta$-Saturations of Misere Nim, arXiv:1804.08809 [math.CO], Apr. 2018.


  1. Take-away games with the same Sprague-Grundy function as Nim, RIMS "Research on algebraic combinatorics, related groups and algebras", Kyoto University, Dec. 12, 2018
  2. $p$-Saturations of Nim, Misere Nim, and Welter's Game, Integers Conference 2018, Augusta, Oct. 5, 2018
  3. Games and Representations, Japan Combinatorial Game Theory Workshop 2, Tsukuba University, Aug. 18, 2018
  4. $p$-Saturations of Welter's game and the irreducible representations of symmetric groups, Annual Meeting of the Mathematical Society of Japan, The University of Tokyo, May 19, 2018
  5. The Branching Rule for Symmetric Groups and $p$-core Towers, RIMS Workshop Representation Theory and Combinatorics, Kyoto University, Oct. 10, 2017
  6. Impartial games with digit-separable Sprague-Grundy functions, The 34th Symposium on Algebraic Combinatorics, Oyama, Jun. 15, 2017
  7. On games with energy formulas, RIMS Workshop Research on Finite Groups, Algebraic Combinatorics and Vertex Operator Algebras, Kyoto University, Dec. 7, 2016
  8. $p$-saturations of Maya game and the irreducible representations of symmetric groups, RIMS Conference Combinatorics of Lie Type, Kyoto University, Oct. 4, 2016
  9. $p$-saturations of Welter's game, RIMS Workshop Research on Finite Groups and Their Representations, Vertex Operator Algebras, and Algebraic Combinatorics, Kyoto University,Jan. 6, 2016
  10. m-saturations of games, Discrete Mathematics and Applications, Kumamoto University, Aug. 22, 2015
  11. Inverted Nim, The 32nd Symposium on Algebraic Combinatorics, Ishikawa, Jun. 22, 2015
  12. Impartial games and designs, Designs, Codes, Graphs and Related Areas, Kyoto University, July 24, 2014
  13. Nine games whose winnig positions are ternary Golay codes, The 30th Symposium on Algebraic Combinatorics, Shizuoka University, Jun 24, 2013
  14. Maya games and Steiner systems, 9th Workshop on Combinatorics for Young Researchers, Keio University, Mar. 16, 2013
  15. Maya games and Steiner system S(5,6,12), RIMS Workshop Research on finite groups and their representations, vertex operator algebras, and algebraic combinatorics, Kyoto University, Jan 10, 2013
  16. On groups generated by quiver mutations, The 9th Symposium on Algebra and Computation, Nov. 8, 2011
  17. On groups generated by mutations of graphs, The 28th Symposium on Algebraic Combinatorics, Oita University, June 20, 2011