This is a preview of subscription content, log in via an institution to check access.
References
[AM1]Adler, M. &Moerbeke, P. van, Completely integrable systems, Euclidean Lie algebras, and curves.Adv. in Math., 38 (1980), 267–317.
[AM2]— Linearization of Hamiltonian systems, Jacobi varieties, and representation theory.Adv. in Math., 38 (1980), 318–379.
[BE]Baston, R. J. &Eastwood, M. G.,The Penrose Transform: Its Interaction with Representation Theory. Oxford Univ. Press, New York, 1989.
[G]Griffiths, P. A., Linearizing flows and a cohomological interpretation of Lax equations.Amer. J. Math. 107 (1985), 1445–1483.
[H]Humphreys, J. E.,Introduction to Lie Algebras and Representation Theory. Graduate Texts in Math., 9, Springer-Verlag, New York-Berlin, 1978.
[K]Kanev, V. I., Spectral curves, simple Lie algebras, and Prym-Tjurin varieties.Proc. Sympos. Pure Math., 49 (1989), 627–645.
[M]McDaniel, A., Representations of sl(n,C) and the Toda lattice.Duke Math. J., 56 (1988), 47–99.
[MM]Moerbeke, P. van, &Mumford, D., The spectrum of difference operators and algebraic curves.Acta Math., 143 (1979), 93–154.
[MS1]McDaniel, A. &Smolinsky, L., A Lie theoretic Galois theory for the spectral curves of an integrable system: I.Comm. Math. Phys., 149 (1992), 127–148.
[MS2]—, A Lie theoretic Galois theory for the spectral curves of an integrable system: II.Trans. Amer. Math. Soc., 349 (1997), 713–746.
[MS3]—, The flow of theG 2 periodic Toda, lattice,J. Math. Phys., 38 (1997), 926–945.
[V]Varadarajan, V. S.,Lie Groups, Lie Algebras, and Their Representations. Graduate Texts in Math., 102, Springer-Verlag, New York-Berlin, 1984.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
McDaniel, A., Smolinsky, L. Lax equations, weight lattices, and Prym-Tjurin varieties. Acta Math. 181, 283–305 (1998). https://doi.org/10.1007/BF02392588
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02392588