68 citations · 421 across the 29 of their papers we have counts for
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Some combinatorial results on smooth permutations
Shoni Gilboa, Erez Lapid
We show that any smooth permutation is characterized by the set of transpositions and -cycles in the Bruhat interval , and that i…
A tightness property of relatively smooth permutations
Erez Lapid
It is well known that many geometric properties of Schubert varieties of type can be interpreted combinatorially. Given two permutations we give a combinatorial co…
Conjectures about certain parabolic Kazhdan--Lusztig polynomials
Erez Lapid
Irreducibility results for parabolic induction of representations of the general linear group over a local non-archimedean field can be formulated in terms of Kazhdan--Lusztig poly…
Relation spaces of hyperplane arrangements and modules defined by graphs of fiber zonotopes
Tobias Finis, Erez Lapid
We study the exactness of certain combinatorially defined complexes which generalize the Orlik-Solomon algebra of a geometric lattice. The main results pertain to complex reflectio…