T. Maeno

activity

19962023

most citedStrong Lefschetz elements of the coinvariant rings of finite Coxeter groups

25 citations · 86 across the 22 of their papers we have counts for

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5 papers · 1 filter

math.CO2017

Polynomial expressions of $p$ -ary auction functions

Shizuo Kaji, Toshiaki Maeno, Koji Nuida +1

Let $F_{p}$ be the finite field of prime order $p$ . For any function $f : F_{p}^{n} \to F_{p}$ , there exists a unique polynomial over $F_{p}$ havin…

math.CO2015★ 3 cited

Polynomial Expressions of Carries in p-ary Arithmetics

Shizuo Kaji, Toshiaki Maeno, Koji Nuida +1

It is known that any $n$ -variable function on a finite prime field of characteristic $p$ can be expressed as a polynomial over the same field with at most $p^{n}$ monomials. However,…

math.CO2006★ 10 cited

Quantum Grothendieck Polynomials

C. Lenart, T. Maeno

Quantum K-theory is a K-theoretic version of quantum cohomology, which was recently defined by Y.-P. Lee. Based on a presentation for the quantum K-theory of the classical flag var…

math.CO2005

On some noncommutative algebras related to K-theory of flag varieties, part I

Anatol N. Kirillov, Toshiaki Maeno

For any Lie algebra of classical type or type $G_{2}$ we define a $K$ -theoretic analog of Dunkl's elements, the so-called truncated {\it Ruijsenaars-Schneider-Macdonald elements}, $R…

math.CO2003★ 2 cited

Noncommutative algebras related with Schubert calculus on Coxeter groups