Tadashi Ishibe

activity

20092016

t = 1

of the skew-growth functions for Artin monoids

4 citations · 9 across the 5 of their papers we have counts for

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3 papers · 1 filter

math.CO2016★ 2 cited

On relations for zeros of $f$ -polynomials and $f^{+}$ -polynomials

Tadashi Ishibe

Let $Φ$ be an irreducible (possibly noncrystallographic) root system of rank $l$ of type $P$ . For the corresponding cluster complex $Δ (P)$ , which is known as pure $(l - 1)$ -dimension…

math.CO2016★ 2 cited

Zero loci of skew-growth functions for dual Artin monoids

Tadashi Ishibe, Kyoji Saito

We show that the skew-growth function of a dual Artin monoid of finite type P has exactly rank(P) =: l simple real zeros on the interval (0, 1]. The proofs for types A_l and B_l ar…

math.CO2016★ 4 cited

On the derivative at $t = 1$ of the skew-growth functions for Artin monoids

Tadashi Ishibe

Let $G_{M}^{+}$ be the Artin monoid of finite type generated by the letters $a_{i}, i \in I$ with respect to a Coxeter matrix $M$ that is equipped with the degree map $°\!:\!G_{M}^{+}…

On relations for zeros of f-polynomials and f+-polynomials

Zero loci of skew-growth functions for dual Artin monoids

On the derivative at t=1 of the skew-growth functions for Artin monoids

On relations for zeros of $f$ -polynomials and $f^{+}$ -polynomials

On the derivative at $t = 1$ of the skew-growth functions for Artin monoids