25 citations · 86 across the 22 of their papers we have counts for
22 papers
A presentation of the torus-equivariant quantum -theory ring of flag manifolds of type , Part II: quantum double Grothendieck polynomials
Toshiaki Maeno, Satoshi Naito, Daisuke Sagaki
In our previous paper, we gave a presentation of the torus-equivariant quantum -theory ring of the (full) flag manifold of type as a quotie…
A presentation of the torus-equivariant quantum -theory ring of flag manifolds of type , Part I: the defining ideal
Toshiaki Maeno, Satoshi Naito, Daisuke Sagaki
We give a presentation of the torus-equivariant quantum -theory ring of flag manifolds of type , as a quotient of a polynomial ring by an explicit ideal. This is the torus-eq…
Solomon-Terao algebra of hyperplane arrangements
Takuro Abe, Toshiaki Maeno, Satoshi Murai +1
We introduce a new algebra associated with a hyperplane arrangement , called the Solomon-Terao algebra $\mbox{ST}(\mathcal{A},η)$, where is a homogeneous polynomia…
Polynomial expressions of -ary auction functions
Shizuo Kaji, Toshiaki Maeno, Koji Nuida +1
Let be the finite field of prime order . For any function , there exists a unique polynomial over havin…
Peterson Isomorphism in -theory and Relativistic Toda Lattice
Takeshi Ikeda, Shinsuke Iwao, Toshiaki Maeno
The -homology ring of the affine Grassmannian of was studied by Lam, Schilling, and Shimozono. It is realized as a certain concrete Hopf subring of the ring of symmetr…
Polynomial Expressions of Carries in p-ary Arithmetics
Shizuo Kaji, Toshiaki Maeno, Koji Nuida +1
It is known that any -variable function on a finite prime field of characteristic can be expressed as a polynomial over the same field with at most monomials. However,…