NUMATA, Yasuhide:COE Research Fellow,Algebra
- Young diagrams, generalized Schur operators, differential posets, Robinson-Schensted-Knuth correspondence, bijection, enumerative combinatorics, growth of trees
- Research Interest:
- Representation theoretical combinatorics, Combinatorial representation theory
- Research Activities:
- I am interested in combinatorics.
Especially I study enumerative combinatorics
originating in representation theory,
e.g., Robinson-Schensted-Knuth correspondences for Fomin's dual graphs and
generalized Schur operators.
I am also interested in theories which have effective combinatorial methods,
e.g., symmetric polynomials like Macdonald polynomials,
the modules of logarithmic vector fields corresponding to multi
hyperplane arrangements in the two-dimensional vector space.