We first define the notion of good filtration dimension and Weyl filtration dimension in a quasi-hereditary algebra. We calculate these dimensions explicitly for all irreducible modules in SL and SL . We use these to show that the global 2 3 dimension of a Schur algebra for GL and GL is twice the go
Bessel Systems for Jordan Algebras of Rank 2 and 3
β Scribed by N.H. Mahmoud
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 138 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
Special functions of matrix argument arise in a diverse range of applications in harmonic analysis, number theory, multivariate statistics, quantum physics, and molecular chemistry. This paper presents series expansions for the Bessel functions associated with Jordan algebras of rank 2 or 3. Detailed information on the domains of convergence of these series are given where Horn's theorems for double and triple hypergeometric series are used.
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