ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract For any two arbitrary positive integers “n” and “m”, using them th KdV hierarchy and the (n+m)th KdV hierarchy as building blocks, we are able to construct another integrable hierarchy (referred to as the (n, m)th KdV hierarchy). TheW-algebra associated to the second Hamiltonian structure of the (n, m)th KdV hierarchy (calledW(n, m) algebra) is isomorphic via a Miura map to the direct sum of aW m -algebra, aW n+m -algebra and an additionalU(1) current algebra. In turn, from the latter, we can always construct a representation of aW ∞-algebra.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02101629
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