Construction of SU(3) irreps in canonical SO(3)-coupled bases

Alternative canonical methods for defining canonical SO(3)-coupled bases for SU(3) irreps are considered and compared. It is shown that a basis that diagonalizes a particular linear combination of SO(3) invariants in the SU(3) universal enveloping algebra gives basis states that have good $K$ quantum numbers in the asymptotic rotor-model limit.Comment: no figure

Vector coherent state representations and their inner products

Several advances have extended the power and versatility of coherent state theory to the extent that it has become a vital tool in the representation theory of Lie groups and their Lie algebras. Representative applications are reviewed and some new developments are introduced. The examples given are chosen to illustrate special features of the scalar and vector coherent state constructions and how they work in practical situations. Comparisons are made with Mackey's theory of induced representations. For simplicity, we focus on square integrable (discrete series) unitary representations although many of the techniques apply more generally, with minor adjustment.Comment: 28 pages, 1 figur

Exhuming the “Diversity Explanation” of the Eleventh Amendment

This essay, in a symposium honoring the scholarship of Ninth Circuit Judge William A. Fletcher, explores the “diversity explanation” of the Eleventh Amendment that he had advanced in articles while he was a UC-Berkeley law professor. That explanation, contrary to existing Supreme Court doctrine that heavily constitutionalizes state sovereign immunity from suits by private parties and foreign countries, would view the Eleventh Amendment as having solely to do with federal courts’ constitutional jurisdiction and nothing to do with states’ sovereign immunity. The essay notes the cleanness of interpretation provided by the diversity explanation, in contrast with the convoluted nature of current doctrine, and concludes that overruling of that doctrine would be warranted

No Final Victories: The Incompleteness of Equity’s Triumph in Federal Public Law

Prominent areas in which the US Supreme Court has denied equitable relief are examined, demonstrating the limited nature of equity\u27s triumph in federal public law. The rationale behind the trend away from equity in such decisions is discussed

Consent and the Roots of Judicial Authority: The Constitutional Writings of Archibald Cox (Book Review)

Reviewing A. Cox, The Role of the Supreme Court in American Governmen