Super W_(1+∞) n-Algebra in the Supersymmetric Landau Problem

We analyze the super n-bracket built from associative operator products.Since the super n-bracket with n even satisfies the so-called generalized super Jacobi identity,we deal with the n odd case and give the generalized super Bremner identity.For the infinite conserved operators in the supersymmetric Landau problem,we derive the super W_(1+∞) n-algebra which satisfies the generalized super Jacobi and Bremner identities for the n even and odd cases,respectively.Moreover the super W_(1+∞) sub-2n-algebra is also given.

We analyze the super n-bracket built from associative operator products. Since the super n-bracket with n even satisfies the so-called generalized super Jacobi identity, we deal with the n odd ease and give the generalizedsuper Bremner identity. For the infinite conserved operators in the supersymmetric Landau problem, we derive the super W1＋∞n-algebra which satisfies the generalized super Jacobi and Bremner identities for the n even and odd cases, respectively. Moreover the super W1＋∞ sub-2n-algebra is also given.