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Whittaker modules have been well studied in the setting of complex semisimple Lie algebras. Their definition can easily be generalized to certain other Lie algebras with triangular decomposition, including the Virasoro algebra. We define Whittaker modules for the Virasoro algebra and obtain analogues to several results from the classical setting, including(More)
In this paper the authors investigate blocks of the Category O for the Virasoro algebra over C. We demonstrate that the blocks have Kazhdan-Lusztig theories, and that the truncated blocks give rise to interesting Koszul algebras. The simple modules have BGG resolutions, and from this the extensions between Verma modules and simple modules, and between pairs(More)
Administered the Alpert-Haber Achievement Anxiety Test (AAT) to 54 students who expressed interest in participating in a test anxiety desensitization workshop. In addition, 182 students from the general college population were tested. Results indicated that both the debilitating and facilitating (AAT) scales were higher for the self-referred volunteer(More)
This study examined the community intervention practice of grouping children on the basis of religious attitudes for analysing community fear responses. The study examined the differences of responses between religious and secular school populations to the Israeli Fear Survey Schedule for Children (IFSSC), an adaptation of the Wolpe and Lang (1964) Fear(More)
A children's version of the Israeli Fear Survey Schedule was administered to 171 children in the central region of Israel and to 320 children along the tense Northern border. Proximity to the border and size of settlement were found to be factors in the fear levels observed. Beyond the finding that children closer to tension areas had higher fear levels,(More)
Let g be the finite dimensional Witt algebra W (1, 1) over an algebraically closed field of characteristic p > 3. It is well known that all simple W (1, 1)-modules are finite dimensional. Each simple module admits a character χ ∈ g *. Given χ ∈ g * one can form the (finite dimensional) reduced enveloping algebra u(g, χ). The simple modules for u(g, χ) are(More)
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