Tosiaki Kori

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20012021

most citedExtensions of Current Groups on S^3 and the Adjoint Representations

4 citations · 8 across the 9 of their papers we have counts for

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Showing 2013Show all

3 papers · 1 filter

math.SG2013

Pre-symplectic structures on the space of connections

Tosiaki Kori

Let X be a four-manifold with boundary three manifold M. We shall describe (i) a pre-symplectic structure on the space of connections of the trivial SU(n)-bundle over X that comes…

math.DG2013★ 4 cited

Extensions of Current Groups on S^3 and the Adjoint Representations

Tosiaki Kori

Let Omega^3(SU(n)) be the Lie group of based mappings from S^3 to SU(n). We construct a Lie group extension of Omega^3(SU(n)) for n>2 by the abelian group of the affine dual space…

math-ph2013

Quaternifiations and extensions of current algebras on S^3

Tosiaki Kori, Yuto Imai

Let $H$ be the quaternion algebra. Let $g$ be a complex Lie algebra and let $U (g)$ be the enveloping algebra of $g$ . We define a Lie algebra structure on the tensor product space o…