# HG changeset patch # User iinov # Date 1535061183 -7200 # Node ID 7e0c719c9526c4c02f0b599a9a5d29efe1c3b586 # Parent 9e229fb212ce57bb92cdb5a69eaf40f72c65e5d0 Formule LaTeX avec préambule diff -r 9e229fb212ce -r 7e0c719c9526 Data/Topics/maths.xml --- a/Data/Topics/maths.xml dim. août 19 23:56:14 2018 +0200 +++ b/Data/Topics/maths.xml jeu. août 23 23:53:03 2018 +0200 @@ -132,6 +132,45 @@ sphère peut se décomposer sur une base d'harmoniques sphériques.
+ ++ Let denote the ideal generated by + the -invariant homogeneous + polynomials of positive degree in and set +
++ +
++ It is known for sometime that the bi-graded Frobenius character of + is given by the transformation of + the elementary symmetric function + under Bergeron-Garsia's "nabla" operator, . In other words, the symmetric function + has an underlying + -representation. Roughly stated, + is a + -linear operator defined on the ring + of symmetric functions in + such a way that the modified Macdonald symmetric functions are + the eigenfunctions of with + prescribed eigenvalues. +
+