ISSN:
1573-0530
Keywords:
81E15
;
82A68
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract We give a lattice construction of the discretizations of the topologically nontrivial maps S 2n−1→S n . For n=1, 2, 4, 8, these are the Hopf maps. The construction, based on Barnes-Wall lattices, Reed-Muller error-correcting codes, and Hadamard matrices, generalizes to n=2 i for i any integer. Manton's result for the cases n=2 and 4 (i.e., the monopole and instanton) are included. We argue that discrete harmonic analysis will be exact in the infinite dimension limit.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00401870
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