Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2018
• Hauptverfasser: Cafasso, M., Du Crest De Villeneuve, A., Yang, D.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2018
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/209853
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials / M. Cafasso, A. Du Crest De Villeneuve, D. Yang // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 41 назв. — англ.

For a simple Lie algebra g and an irreducible faithful representation π of g, we introduce the Schur polynomials of (g,π)-type. We then derive the Sato-Zhou-type formula for tau functions of the Drinfeld-Sokolov (DS) hierarchy of g-type. Namely, we show that the tau functions are linear combinations...