A Generating Function for Averages Over the Orthogonal Group
β Scribed by A. T. James
- Book ID
- 123675523
- Publisher
- The Royal Society
- Year
- 1955
- Tongue
- English
- Weight
- 741 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0962-8444
- DOI
- 10.2307/99772
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π SIMILAR VOLUMES
Let fS n g denote the sequence of polynomials orthogonal with respect to the Sobolev inner product Γ°f ; gΓ S ΒΌ where a4 Γ 1; l40 and the leading coefficient of the S n is equal to the leading coefficient of the Laguerre polynomial L Γ°aΓ n : In this work, a generating function for the Sobolev-Laguer
In 1962 Steinberg gave pairs of generators for all finite simple groups of Lie type. In this paper, for each finite orthogonal group we provide a pair of matrices which generate its derived group: the matrices correspond to Steinberg's generators modulo the centre. These generators have been impleme