Casimir invariants and characteristic identities for gl(infinity)

A full set of (higher-order) Casimir invariants for the Lie algebra gl(infinity) is constructed and shown to be well defined in the category O-FS generated by the highest weight (unitarizable) irreducible representations with only a finite number of nonzero weight components. Moreover, the eigenvalues of these Casimir invariants are determined explicitly in terms of the highest weight. Characteristic identities satisfied by certain (infinite) matrices with entries from gl(infinity) are also determined and generalize those previously obtained for gl(n) by Bracken and Green [A. J. Bracken and H. S. Green, J. Math. Phys. 12, 2099 (1971); H. S. Green, ibid. 12, 2106 (1971)]. (C) 1997 American Institute of Physics.

The Great appropriation: Political Possibilities Since 1974

Argued that a new cadre of 'intellectual journalists' (such as Paul Kelly), unlike scholars of Graham Maddox's standing, have usurped critical appraisals of the possibilities of politics. This new anti-democratic liberalism wrongly suggests that political achievements reached when Australia was less rich (such as compulsory industrial arbitration) now need to abandoned, subordinating national well-being to an international policy orthodoxy.