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- Toshiaki Maeno
- 2006

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 Ruijsenaars-Schneider-Macdonald elements, RSM-elements for short, in theâ€¦ (More)

For the root system of type A we introduce and study a certain extension of the quadratic algebra invented by S. Fomin and the first author, to construct a model for the equivariant cohomology ringâ€¦ (More)

We discuss a class of generalized divided difference operators which give rise to a representation of Nichols-Woronowicz algebras associated to Weyl groups. For the root system of type A, we alsoâ€¦ (More)

- Anatol N. Kirillov, Toshiaki Maeno
- Discrete Mathematics
- 2000

We study the algebraic aspects of equivariant quantum cohomology algebra of the flag manifold. We introduce and study the quantum double Schubert polynomials SÌƒw(x, y), which are the Lascouxâ€“â€¦ (More)

- Anatol N. Kirillov, Toshiaki Maeno
- Eur. J. Comb.
- 2004

For any finite Coxeter system (W, S) we construct a certain noncommutative algebra, so-called bracket algebra, together with a familiy of commuting elements, so-called Dunkl elements. Dunkl elementsâ€¦ (More)

- Shizuo Kaji, Toshiaki Maeno, Koji Nuida, Yasuhide Numata
- ArXiv
- 2015

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 pn monomials. However, it is not obvious toâ€¦ (More)

- Toshiaki Maeno, Hidehumi Kushibe, Tatsuo Takada, Chathan M. Cooke
- Conference on Electrical Insulation & Dielectricâ€¦
- 1985

The measurement of volume charges within insulators has been attempted by various methods, including thermal, optical, mechanical, and electrical stimulation of the sample. A new method incorporatingâ€¦ (More)

- Toshiaki Maeno, Tatsuo Takada
- IEEE Transactions on Electrical Insulation
- 1986

A modified Kerr electro-optic effect technique has been applied to the direct measurement of electric field intensity in dielectric liquids such as nitrobenzene, tricresylphosphate, benzene,â€¦ (More)

We give a description of the (small) quantum cohomology ring of the flag variety as a certain commutative subalgebra in the tensor product of the Nichols algebras. Our main result can be consideredâ€¦ (More)

- Toshiaki Maeno
- 2006

Fomin and Kirillov initiated a line of research into the realization of the cohomology and K-theory of generalized flag varieties G/B as commutative subalgebras of certain noncommutative algebras.â€¦ (More)