6533b82efe1ef96bd1292615
RESEARCH PRODUCT
Sato's universal Grassmannian and group extensions
Jouko Mickelssonsubject
Pure mathematicsGroup (mathematics)Current algebraStatistical and Nonlinear PhysicsExtension (predicate logic)Yang–Mills theoryFunction (mathematics)Symmetry groupAlgebraHigh Energy Physics::TheoryGrassmannianMathematical PhysicsVector spaceMathematicsdescription
An extension \(\widehat{GL}\) 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 \(\widehat{GL}_{{\text{res}}}\) in the approach of Segal and Wilson to τ functions and KP hierarchy. Our group G contains GLres as a subgroup and the associated τ function is a deformation of the usual τ function, leading to a deformed KP hierarchy. A relation to current algebra of Yang-Mills theory in 3+1 dimension is discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1991-06-01 | Letters in Mathematical Physics |