3 citations · 5 across the 4 of their papers we have counts for
4 papers
Skew Plücker Relations
Kazuya Aokage, Eriko Shinkawa, Hiro-Fumi Yamada
Schur functions satisfy the relative Plücker relations which describe the projective embedding of the flag varieties and the Hirota bilinear equations for the modified KP hierarchi…
Virasoro Action on the -Functions
Kazuya Aokage, Eriko Shinkawa, Hiro-Fumi Yamada
A formula for Schur -functions is presented which describes the action of the Virasoro operators. For a strict partition, we prove a concise formula for , where $L_{-…
Compound basis arising from the basic -module
Kazuya Aokage, Hiroshi Mizukawa, Hiro-Fumi Yamada
A new basis for the polynomial ring of infinitely many variables is constructed which consists of products of Schur functions and Q-functions. The transition matrix from the natura…
Compound basis for the space of symmetric functions
Kazuya Aokage, Hiroshi Mizukawa, Hiro-Fumi Yamada
The aim of this note is to introduce a compound basis for the space of symmetric functions. Our basis consists of products of Schur functions and -functions. The basis elements…