COMPLETIONS AND CATEGORICAL COMPACTNESS FOR NILPOTENT GROUPS
โ Scribed by Fay, Temple H.; Walls, Gary L.
- Book ID
- 118184444
- Publisher
- Taylor and Francis Group
- Year
- 1994
- Tongue
- English
- Weight
- 634 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1607-3606
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let G be a nilpotent locally compact group. The lower multiplicity M L (?) is defined for every irreducible representation ? of G, which does not form an open point in the dual space G of G. It is shown that M L (?)=1 if either G is connected or ? is finite dimensional. Conversely, for G a nilpotent
If A is a fixed abelian group with endomorphism ring E, then for any group G, ลฝ . ลฝ . let G\* s Hom G, A and for any E-module M, let M\* s Hom M, A . The E evaluation map : G ยช G\*\* is defined in the usual way and G is A-reflexive if G is an isomorphism. This is strongly related to the question of