On the structure of a one-dimensional quotient field
β Scribed by Ross M Hamsher
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 522 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Let p be a fixed odd prime number and k an imaginary abelian field containing a primitive p th root `p of unity. Let k Γk be the cyclotomic Z p -extension and LΓk the maximal unramified pro-p abelian extension. We put where E is the group of units of k . Let X=Gal(LΓk ) and Y=Gal(L & NΓk ), and let
We characterize the existence of Lie group structures on quotient groups and the existence of universal complexifications for the class of Baker-Campbell-Hausdorff (BCH-) Lie groups, which subsumes all Banach-Lie groups and ''linear'' direct limit Lie groups, as well as the mapping groups C r K Γ°M;
The one-dimensional Ising model with a transverse field is solved exactly by transforming the set of Pauli operators to a new set of Fermi operators. The elementary excitations, the ground-state energy and the free energy are found. The instantaneous correlation function between any two spins is cal