A lower bound for the representation dimension of({kC_p^n})
β Scribed by Steffen Oppermann
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- French
- Weight
- 203 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
A system F of functions [1, 2, ..., n] Γ [1, 2, ..., k] has Natarajan dimension at most d if no (d+1)-element subset A/X is 2-shattered. A is 2-shattered if for each x # A there is a 2-element set V x [1, 2, ..., k] such that for any choice of elements c x # V x , a function f # F exists with f (x)=
The object of the present work is to express characteristic numbers of a homogeneous space G/U which are related to the immersion dimension of G/U by Lie group invariants of G and U . New concrete nonimmersion theorems for flag manifolds and other homogeneous spaces are proved.