Abstract:
We define up-partitions as labels for conjugacy classes of S_n where all non-zero irreducible character values are 1 or -1, i.e., they are sign partitions as defined by J. B. Olsson. We will see some properties of sign partitions and up-partitions in particular and will work towards a classification theorem for up-partitions. After this we will look at some results of C. Bessenrodt, J. B. Olsson and J. Sellers about generating functions for up-partitions.
Unique path partitions: motivation, classification and counting
30.04.2019 15:15 - 16:45
Organiser:
Ch. Krattenthaler
Location: