We prove an analogue of the Murnaghan-Nakayama rule to express the product of a power symmetric function and a generalized Demazure atom in terms of generalized Demazure atoms.
Source: OpenCitations
Properties of Non-symmetric Macdonald Polynomials at $$q=1$$ and $$q=0$$
Annals of Combinatorics
Journal reference : Volume 23, 2019, pp. 219-239
DOI : 10.1007/s00026-019-00432-zSymmetric Functions
Developments in mathematics
Journal reference : Volume , 2015, pp. 33-78
DOI : 10.1007/978-3-319-23618-6_2