22 citations · 41 across the 9 of their papers we have counts for
9 papers
Complex poles, spectral function and reflection positivity violation of Yang-Mills theory
Kei-Ichi Kondo, Yui Hayashi, Ryutaro Matsudo +2
We discuss the analytic continuation of the gluon propagator from the Euclidean region to the complex squared-momentum plane towards the Minkowski region from a viewpoint of gluon…
Reflection positivity and complex analysis of the Yang-Mills theory from a viewpoint of gluon confinement
Kei-Ichi Kondo, Masaki Watanabe, Yui Hayashi +2
In order to understand the confining decoupling solution of the Yang-Mills theory in the Landau gauge, we consider the massive Yang-Mills model which is defined by just adding a gl…
Schur partition theorems via perfect crystal
Shunsuke Tsuchioka, Masaki Watanabe
Motivated by spin modular representations of the symmetric groups, we propose two generalizations of the Schur regular partitions for an odd integer . One forms a subset o…
Kraśkiewicz-Pragacz modules and Pieri and dual Pieri rules for Schubert polynomials
Masaki Watanabe
In their 1987 paper Kraśkiewicz and Pragacz defined certain modules, which we call KP modules, over the upper triangular Lie algebra whose characters are Schubert polynomials. In a…
Pattern avoidance seen in multiplicities of maximal weights of affine Lie algebra representations
Shunsuke Tsuchioka, Masaki Watanabe
We prove that the multiplicities of certain maximal weights of -modules are counted by pattern avoidance on words. This proves and generalizes a conjectu…
Kraśkiewicz-Pragacz modules and Ringel duality
Masaki Watanabe
Kraśkiewicz and Pragacz introduced representations of the upper-triangular Lie algebras whose characters are Schubert polynomials. In a previous work the author studied the structu…
Tensor product of Kraśkiewicz and Pragacz's modules
Masaki Watanabe
This paper explores further properties of modules related with Schubert polynomials, introduced by Kraśkiewicz and Pragacz. In this paper we show that any tensor product of Kraśkie…
An approach toward Schubert positivities of polynomials using Kraśkiewicz-Pragacz modules
Masaki Watanabe
In this paper, we investigate properties of modules introduced by Kraśkiewicz and Pragacz which realize Schubert polynomials as their characters. In particular, we give some charac…
On a relation between certain character values of symmetric groups and its connection with creation operators of symmetric functions
Masaki Watanabe
In this paper, we derive a relation of new kind between certain character values of symmetric groups in terms of so-called maya diagrams. We also investigate a relation between our…