Adams operations and lambda-operations in beta-rings
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In a lambda-ring there are operations lambda_{pi}, psi_{pi} and beta_{pi} for pi a partition of n. These operations are related by identities analogous to those between the symmetric functions a_{pi}, s_{pi} and h_{pi}. In a beta-ring there is defined an operation beta_H for [H] a conjugacy class of subgroups of the symmetric group S_n. This paper defines operations psi_H and lambda_H in a beta-rung such that whenever the beta-ring is a lambda-ring, and H a Young subgroup S_{pi} of S_n, then the beta_H, psi_H and lambda_H reduce to beta_{pi}, psi_{pi} and lambda_{pi} respectively. The identities relating the new operations are also investigated.
| Original language | English |
|---|---|
| Pages (from-to) | 253-270 |
| Journal | Discrete Mathematics |
| Volume | 50 |
| DOIs | |
| Publication status | Published - 1984 |