We give a bijection between the set of ordinary partitions and that of selfconjugate partitions with some restrictions. Also, we show the relation between hook lengths of self conjugate partition and corresponding partition via the bijection. As a corollary, we give new combinatorial interpretations for the Catalan number and the Motzkin number in terms of self-conjugate simultaneous core partitions.
|Publication status||Published - 2019|
|Event||31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 - Ljubljana, Slovenia|
Duration: 2019 Jul 1 → 2019 Jul 5
|Conference||31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019|
|Period||19/7/1 → 19/7/5|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory