\(p\)-extensions between simple representations of \(SL(3,\mathbb{R})\) close to the trivial character and their cup-products (Q1327533)
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scientific article; zbMATH DE number 590975
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(p\)-extensions between simple representations of \(SL(3,\mathbb{R})\) close to the trivial character and their cup-products |
scientific article; zbMATH DE number 590975 |
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\(p\)-extensions between simple representations of \(SL(3,\mathbb{R})\) close to the trivial character and their cup-products (English)
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21 July 1994
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The author deals with the algebra \(E_\chi\) of \(p\)-extensions of simple \(SL(3, \mathbb{R})\)-Harish-Chandra modules with character \(\chi\) close enough to the trivial character 0. In particular, it is shown that \(E_0\) is not quadratic. Related papers: [\textit{I. N. Bernstein, I. M. Gelfand, S. I. Gelfand}, C. R. Acad. Sci., Paris, Ser. A 286, 435-437, 495-497 (1978; Zbl 0416.22018 and Zbl 0431.22012)].
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Harish-Chandra module
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representation theory
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trivial character
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\(p\)- extensions
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