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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

3 votes

Implications of non-negativity of coefficients of arbitrary Kazhdan-Lusztig polynomials?

Non-negativity is important in the proof of Lusztig's 15 conjectures (in fact, it is easy to be proved with the non-negativity property, like in the "split case" and "quasi-split case"). Although even …
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