2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.CO2008
A bijective proof of a factorization formula for Macdonald polynomials at roots of unity
Francois Descouens, Hideaki Morita, Yasuhide Numata
We give a combinatorial proof of the factorization formula of modified Macdonald polynomials when the parameter t is specialized at a primitive root of unity. Our proof is restrict…
math.CO2007★ 2 cited
An Algorithm to Construct A Basis for the Module of Logarithmic Vector Fields
Yasuhide Numata
We consider logarithmic vector fields parametrized by finite collections of weighted hyperplanes. For a finite collection of weighted hyperplanes in a two-dimensional vector space,…
math.CO2007
An extended Schur's lemma and its application
Yasuhide Numata
The Springer modules have a combinatorial property called ``coincidence of dimensions,'' i.e., the Springer modules are naturally decomposed into submodules with common dimensions.…