## Bosonic and fermionic realizations of the afiine algebra ~ n

- J. van de Lear
- Loop groups and equations of KdV type , Inst…
- 1985

To every partition n = ~ + n2 + "" + ns one can associate a vertex operator realization of the Lie algebras am and gl n. Using this construction we make reductions of the s-component KP hierarchy, reductions which are related to these partitions. In this way we obtain matrix KdV type equations. Now assuming that (1) r is a r-function of the [nhn2 ..... ns… CONTINUE READING

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