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math.CO2020
Bijections on -Shi and -Catalan Arrangements
Houshan Fu, Suijie Wang, Weijin Zhu
Associated with the -Shi arrangement and -Catalan arrangement in , we introduce a cubic matrix for each region to establish two bijections in a uniform way. Firstl…
math.CO2020
Truncated Homogeneous Symmetric Functions
Houshan Fu, Zhousheng Mei
Extending the elementary and complete homogeneous symmetric functions, we introduce the truncated homogeneous symmetric function $h_λ^{\dd}$ in $(\ref{THSF})$ for any integer parti…