Tau-functions as highest weight vectors for W_{1+infty} algebra

B. Bakalov, E. Horozov, M. Yakimov

For each r = (r_1, r_2,...,r_N) we construct a highest weight module M_r of the Lie algebra W_{1+infty}. The highest weight vectors are specific tau-functions of the N-th Gelfand--…