7 papers
Richardson tableaux and Motzkin paths
Sen-Peng Eu, Tung-Shan Fu, Yi-Hao Kao +1
Richardson tableaux were introduced by Karp and Precup in their study of irreducible components of Springer fibers that are Richardson varieties. Guo gave an explicit bijection bet…
On Ternary Trees and Fighting Fish
Sen-Peng Eu, Tung-Shan Fu, Yu-Ren Pan
Fighting fish is a combinatorial configuration introduced by Duchi, Guerrini, Rinaldi and Schaeffer as a new model of branching surfaces that generalizes directed convex polyominoe…
Rowmotion on hook and two-row alt -Tamari lattices
Sen-Peng Eu, Vei-Cheng Hioe, Yi-Lin Lee
In 2024, Ceballos and Chenevi{è}re introduced alt -Tamari lattices, parameterized by a lattice path and an increment vector , as a common generalization of -Tamar…
Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule
Saintan Wu, Sen-Peng Eu, Kuo-Han Ku +1
Petrie symmetric functions , also known as truncated homogeneous symmetric functions or modular complete symmetric functions, form a class of symmetric functions interpolat…
Enumeration of pattern-avoiding -matrices and their symmetry classes
Sen-Peng Eu, Yi-Lin Lee
Recently, Brualdi and Cao studied -avoiding -matrices by decomposing them into zigzag paths and proved that the maximum number of 's in such a matrix is given by an…
A Note on Idempotent Matrices: The Poset Structure and The Construction
Sen-Peng Eu, Yong-Siang Lin, Wei-Liang Sun
Idempotent elements play a fundamental role in ring theory, as they encode significant information about the underlying algebraic structure. In this paper, we study idempotent matr…