Ryuji Kemmoku and Satoru Saito 1996 J. Phys. A: Math. Gen. 29 4141 doi:10.1088/0305-4470/29/14/033
as a discretization of Virasoro algebra
Ryuji Kemmoku and Satoru Saito
Show affiliationsIt is shown that a realization of 
algebra in the KP hierarchy is equivalent to a difference operator realization of the simplest subalgebra of a q-discretized Virasoro algebra ( D-
). To this end, we first introduce the non-commutative flow of the KP hierarchy and see the additional flow corresponds to the element of the algebra. It is then shown that the new flow constructed by use of the additional one can be recognized as an action of D- in the Fock representation of the KP hierarchy.
- PACS
- MSC
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81T75 Noncommutative geometry methods (See also 46L85, 46L87, 58B34)
- Subjects
- Dates
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Issue 14 (21 July 1996)
Received 30 June 1995
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as a discretization of Virasoro algebra
Ryuji Kemmoku and Satoru Saito 1996 J. Phys. A: Math. Gen. 29 4141
-
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