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List of Discussion Paper Series
- No.2005-10(October 2005)
- Generalized Confluent Hypergeometric Systems on Grassmann Variety
- Y. Murata (Professor, Faculty of Economics, Nagasaki University)
N. M. J. Woodhouse (Professor, The Mathematical Institute, Oxford University)
- Abstract:
- The theory of Generalized Confluent Hypergeometric Function and Generalized Confluent Hypergeometric System defined on matrix space was initiated by Gelfand and developed by H. Kimura et al., using tools related to Young tableaux and twisted cycles. The aim of this paper is to give a concrete expression of Generalized Confluent Hypergeometric System on Grassmann Variety. Results will be applied to the study of the relationship between Generalized Confluent Hypergeometric Systems and Matrix Painleve Systems in the forthcoming paper.