Geodesic
Bosonic symmetries of the extended fermionic $(2N,2M)$-Toda hierarchy
Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 2, pp. 257-271 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct the additional symmetries of the fermionic $(2N,2M)$-Toda hierarchy based on a generalization of the $N=(1|1)$ supersymmetric two-dimensional Toda lattice hierarchy. These additional flows constitute a $w_\infty\times w_\infty$ Lie algebra. As a bosonic reduction of the $N=(1|1)$ supersymmetric two-dimensional Toda lattice hierarchy and the fermionic $(2N,2M)$-Toda hierarchy, we define a new extended fermionic $(2N,2M)$-Toda hierarchy that admits a bosonic Block-type superconformal structure.
Keywords: $N=(1|1)$ supersymmetric Toda hierarchy, extended fermionic $(2N,2M)$-Toda hierarchy, additional symmetry, Block algebra. 
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Chuanzhong Li. Bosonic symmetries of the extended fermionic $(2N,2M)$-Toda hierarchy. Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 2, pp. 257-271. http://geodesic.mathdoc.fr/item/TMF_2019_199_2_a5/

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