Matrix integrals and the geometry of spinors

Journal of Nonlinear Mathematical Physics

Volumn 8, Issue 2, 2001, Pages 288-310

  Van De Leur, Johan ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035627643     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2001.8.2.9     Document Type: Article

References (12)

1. Adler, M, Horozov, E, and van Moerbeke, P. 1999. The Pfaff Lattice and Skew-Orthogonal Polynomials. Internat. Math. Res. Notices, 11:569–588.
2. Adler M, Shiota T, van Moerbeke P, Pfaff τ -functions, solv-int/9909010
3. Adler, M, and van Moerbeke, P. 1999. The Spectrum of Coupled Random Matrices. Annals of Math., 149:921–976.
4. Adler M, van Moerbeke P, Symmetric Random Matrices and the Pfaff Lattice, solv-int/9903009
5. Adler M, van Moerbeke P, The Pfaff Lattice, Matrix Integrals and a Map from Toda to Pfaff, preprint
6. Date, E, Jimbo, M, Kashiwara, M, and Miwa, T. 1981. Operator Approach to the Kadomtsev– Petviashvili Equation. Transformation Groups for Soliton Equations. III. J. Phys. Soc. Japan, 50:3806–3812.
7. Jimbo, M, and Miwa, T. 1983. Solitons and Infinite Dimensional Lie Algebras. Publ. Res. Inst. Math. Sci., 19:943–1001.
8. Kac, V G. 1996. Vertex Algebras for Beginners, Providence, RI:University Lecture Series 10, AMS.
9. Kac V G, van de Leur J W, The Geometry of Spinors and the Multicomponent BKP and DKP Hierarchies, CRM Proceedings and Lecture Notes 14, 1998, 159–202
10. Kac V G, Raina A K, Bombay Lectures on Highest Weight Representations of Infinite-Dimensional Lie Algebras, Advanced Ser. in Math. Phys., Vol. 2, World Scientific 1987
11. Peng H, The Spectrum of Random Matrices for Symmetric Ensembles, Brandeis Dissertation, 1997
12. Ueno, K, and Takasaki, K. 1984. Toda Lattice Hierarchy. Adv. Studies in Pure Math., 4:1–95.