0 50 50 37 v 1 1 1 M ay 2 00 5 New branching rules induced by plethysm ∗

@inproceedings{Fauser2006055,
  title={0 50 50 37 v 1 1 1 M ay 2 00 5 New branching rules induced by plethysm ∗},
  author={Bertfried Fauser and Peter D. Jarvis and Ronald C. King and B. G. Wybourne},
  year={2006}
}
We derive group branching laws for formal characters of subg roups Hπ of GL(n) leaving invariant an arbitrary tensorT π of Young symmetry typeπ where π is an integer partition. The branchings GL(n) ↓ GL(n − 1) , GL(n) ↓ O(n) and GL(2n) ↓ Sp(2n) fixing a vector vi , a symmetric tensor gij = gji and an antisymmetric tensor fij = −fji , respectively, are obtained as special cases. All new branchings are governed by Schur function series obtain ed from plethysms of the Schur function sπ ≡ {π} by… CONTINUE READING
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