arXiv subjects

T. Fujitani

Publications and source records attributed to T. Fujitani.

2 recordsLinked to original sources

arXiv2018

The Kac-Moody central extension on a loop group in the seven-term exact sequence

Mickelsson defined a group 2-cocycle on the group of smooth maps from the closed unit 2-disk to a Lie group G and constructed a smooth central extension on a loop group of G, called the affine Kac-Moody central extension. We reformulate this central extension theory in the terms of the seven-term exact sequence for cohomology groups for discrete groups.

math.GR↗

arXiv2018

The Calabi invariant and The Lyndon-Hochschild-Serre spectral sequence

Let $G$ be a group and $N$ be a normal subgroup of $G$. There exists the group extension $G$ of $G/N$ by $N$. For a $G$-module $A$ which $N$ acts on trivially and a $G$-invariant homomorphism on $N$ to $A$, we obtain a central extension of $G/N$ by $A$. By using connection cochains, we exhibit the formula of its extension class such that clarify the relation among connection cochains, extension classes and the LHS spectral sequence.

math.GR↗