Lakshmibai-Seshadri paths and non-symmetric Cauchy identity

Seung-Il Choi, Jae-Hoon Kwon

We give a simple crystal theoretic interpretation of the Lascoux's expansion of a non-symmetric Cauchy kernel ${\prod }_{i+j\le n+1}(1-x_i{y}_j{)}^{-1}$, which is given in terms of Dema…