Restricted Direct Products and Sectional Representations
โ Scribed by Stephen D. Comer
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- English
- Weight
- 649 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We extend the applicability of the discrete Bessel transform we have previously derived for the case of cylindrical or spherical symmetry. In the absence of symmetry we describe the fixed-grid algorithm which optimally deals with non-direct product rep resentations. Exponential convergence is preser
Let F be a field of characteristic p ) 0, L a generalized restricted Lie algebra ลฝ . over F, and P L the primitive p-envelope of L. A close relation between ลฝ . L-representations and P L -representations is established. In particular, the irreducible -reduced modules of L for any g L\* coincide with
if ? is not a discrete series representation and that ? | 1 is determined by ?. Our first result shows that even the weak equivalence class of ? | 1 is determined by ? when ? is a complementary series representation. Let C ? \*(1 ) denote the C\*-algebra generated by all ?(#) for # in 1. We show tha