Root data with group actions

Suppose $k$ is a field, $G$ is a connected reductive algebraic $k$-group, $T$ is a maximal $k$-torus in $G$, and $\Gamma$ is a finite group that acts on $(G,T)$. From the above, one obtains a root datum $\Psi$ on which $\text{Gal}(k)\times\Gamma$ acts. Provided that $\Gamma$ preserves a positive system in $\Psi$, not necessarily invariant under $\text{Gal}(k)$, we construct an inverse to this process. That is, given a root datum on which $\text{Gal}(k)\times\Gamma$ acts appropriately, we show how to construct a pair $(G,T)$, on which $\Gamma$ acts as above. Although the pair $(G,T)$ and the action of $\Gamma$ are canonical only up to an equivalence relation, we construct a particular pair for which $G$ is $k$-quasisplit and $\Gamma$ fixes a $\text{Gal}(k)$-stable pinning of $G$. Using these choices, we can define a notion of taking "$\Gamma$-fixed points" at the level of equivalence classes, and this process is compatible with a general "restriction" process for root data with $\Gamma$-action.Comment: v2: one word inserted, one citation inserted, one reference updated, one misspelling correcte

Advertising Research Issues from FTC Versus Stouffer Foods Corporation

Extrinsic evidence is frequently offered in Federal Trade Commission advertising deception cases, most often in the form of advertising research, such as copy tests. Although generally accepted principles exist for copy test evidence presented before the Commission, how these principles are operationalized can provide fertile ground for challenges. Thus, the authors review six copy testing and ad interpretation issues from the recent Stouffer Foods case. The authors discuss difficult tradeoffs inherent in relative versus absolute claims, multiple claims, control ad groups, control questions, and disclosure information. The careful consideration of such trade-offs in advertising research decisions will help in the preparation of extrinsic evidence before the Commission

Dr. J. E. McPherson, Educator and Researcher Extraordinaire: Biographical Sketch and List of Publications

(excerpt) Like many outstanding naturalists, John E. (“Jay”) McPherson grew up with a strong interest in the natural world, especially insects. This innate curiosity led him to enroll as a zoology major at San Diego State University in 1959. Upon completion of his undergraduate degree, he continued on to pursue his interest in insect biology, completing a Master’s thesis on the life history and morphology of a poorly known species of Notonectidae. Shortly thereafter, a teaching assistantship enabled him to pursue a Ph.D. at Michigan State University in East Lansing, where his research involved distinguishing two closely related species of bark beetles. During this period, Jay also worked on various pest species, including the cereal leaf beetle, pine tip beetle, and pine cone beetle

Guides for the Journey: Supporting High-Risk Youth with Paid Mentors and Counselors

Strategies to concentrate resources on high-risk youth have long been a goal in the youth field, but the practical means of doing so frequently have eluded practitioners. High-risk youth often are highly transient, and they may need sustained, costly services to address their needs effectively. Guides for the Journey explores a concrete, flexible approach to the problem: the use of paid counselors who stay with young people for extended periods of time. The report profiles three programs now using this strategy and discusses how public funding to support wider use of paid mentors and counselors may be mobilized