$SL(n,R)$ KDV Hierarchy and its Nonpolynomial Realization Through Kac-Moody CurrentsReport as inadecuate



 $SL(n,R)$ KDV Hierarchy and its Nonpolynomial Realization Through Kac-Moody Currents


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It is shown that $SL(n,R)$ KdV hierarchy can be expressed as definite nonpolynomials in Kac Moody currents and their derivatives by the action of Borel subgroup of $SL(n,R)$ on the phase space of centrally extended $sl(n,R)$ Kac Moody currents. Construction of Lax pair is shown, confirming Drinfeld Sokolov type Hamiltonian reduction. This suggests

Author: Sasanka Ghosh; Samir K. Paul

Source: https://archive.org/







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