Mathematics – Quantum Algebra
Scientific paper
1996-02-03
Mathematics
Quantum Algebra
24 pages, LaTeX2e, uses amsfonts.sty and latexsym.sty, no figures
Scientific paper
The present paper establishes a connection between the Lie algebra W_{1+infty} and the bispectral problem. We show that the manifolds of bispectral operators obtained by Darboux transformations on powers of Bessel operators are in one to one correspondence with the manifolds of tau-functions lying in the W_{1+infty}-modules M_beta introduced in our previous paper hep-th/9510211. An immediate corollary is that they are preserved by hierarchies of symmetries generated by subalgebras of W_{1+infty}. This paper is the last of a series of papers (hep-th/9510211, q-alg/9602010, q-alg/9602011) on the bispectral problem.
Bakalov Bojko
Horozov Emil
Yakimov Milen
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