Houyi Yu

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20232025

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math.CO2025

Combinatorial equivalence of separable elements in types $A$ and $B$

Yong Liao, Yuping Yang, Houyi Yu

We study the combinatorial equivalence of separable elements in types $A$ and $B$ . A bijection is constructed from the set of separable permutations in the symmetric group $S_{n+1}…

math.CO2023

Separable elements and splittings in Weyl groups of Type $B$

Ming Liu, Houyi Yu

Separable elements in Weyl groups are generalizations of the well-known class of separable permutations in symmetric groups. Gaetz and Gao showed that for any pair $(X, Y)$ of subse…

Combinatorial equivalence of separable elements in types A and B

Separable elements and splittings in Weyl groups of Type B

Combinatorial equivalence of separable elements in types $A$ and $B$

Separable elements and splittings in Weyl groups of Type $B$