T. Takagi

collaborators

2 papers

math-ph2026

Novel energy preserving bijections between affine crystals for $U_{q} (sl_{2})$ and integer partitions

Sota Miyazawa, Taichiro Takagi

Let $B (I^_{a}) (a = 0, 1)$ be the crystal of the level 1 integrable irreducible highest weight representation of the affine quantum group $U_{q} (sl_{2})$ . We conside…

math.CO2026

A polynomial bosonic form of statistical configuration sums and the odd/even minimal excludant in integer partitions

Taichiro Takagi

Inspired by the study of the minimal excludant in integer partitions by G.E. Andrews and D. Newman, we introduce a pair of new partition statistics, sqrank and rerank. They are rel…

Novel energy preserving bijections between affine crystals for Uq​(sl2​) and integer partitions

A polynomial bosonic form of statistical configuration sums and the odd/even minimal excludant in integer partitions

Novel energy preserving bijections between affine crystals for $U_{q} (sl_{2})$ and integer partitions