Hassitt-type young operator expansions I. An orthogonal transformation between ( a ) the Young operators of the symmetric group S A + 1 and ( b ) the two-sided products of the Young operators of S A with the transposition P A , A +
- 28 July 1960
- journal article
- Published by The Royal Society in Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
- Vol. 253 (1021) , 27-53
- https://doi.org/10.1098/rsta.1960.0017
Abstract
An expansion, of the type considered by Hassitt, of the Young operators of S A+1 in terms of the two-sided products of the Young operators of S A into the transposition P A, A+1 , is derived in complete generality and explicitly evaluated for the symmetry type of the general Wigner nuclear supermultiplet. The expansion allows of a recursive construction of the Young operators which is simpler than that considered, for example, by Thrall. A complete set of Young operators for S 3 , S 4 , S 5 and S 6 is explicitly constructed and tabulated. In an appendix explicit formulae are given for the most general case.Keywords
This publication has 2 references indexed in Scilit:
- The Classical GroupsPublished by Walter de Gruyter GmbH ,1947
- On the Consequences of the Symmetry of the Nuclear Hamiltonian on the Spectroscopy of NucleiPhysical Review B, 1937