Sato's universal Grassmannian and group extensions |
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Authors: | Jouko Mickelsson |
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Institution: | (1) Department of Mathematics, University of Jyväskylä, Seminaaarinkatu 15, SF-40100 Jyväskylä 10, Finland |
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Abstract: | An extension
of the symmetry group GL of Sato's universal Grassmannian GM is constructed. The extension plays a similar role to that of the central extension
in the approach of Segal and Wilson to functions and KP hierarchy. Our group G contains GLres as a subgroup and the associated function is a deformation of the usual function, leading to a deformed KP hierarchy. A relation to current algebra of Yang-Mills theory in 3+1 dimension is discussed. |
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Keywords: | 14M15 81T13 |
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