M. Kinyon

activity

19992005

most citedThe structure of extra loops

39 citations · 76 across the 8 of their papers we have counts for

collaborators

Showing 1999Show all

4 papers · 1 filter

math.RA1999

Birkhoff's Theorem for Panstochastic Matrices

Dean L. Alvis, Michael K. Kinyon

The panstochastic analogue of Birkhoff's Theorem on doubly-stochastic matrices is proved in the case $n = 5$ . It is shown that this analogue fails when $n > 1$ , $n \neq = 5$ .

math.GR1999

Global Left Loop Structures on Spheres

Michael K. Kinyon

On the unit sphere $S$ in a real Hilbert space $H$ , we derive a binary operation $⊙$ such that $(S, ⊙)$ is a power-associative Kikkawa left loop w…

math.RA1999

Nahm Algebras

Michael K. Kinyon, Arthur A. Sagle

Given a Lie algebra $g$ , the \emph{Nahm algebra} of $g$ is the vector space $g \times g \times g$ with the natural commutative, nonassociative alge…

math.GR1999

Loops and Semidirect Products

Oliver Jones, Michael K. Kinyon

A \emph{loop} $(B, \cdot)$ is a set $B$ together with a binary operation $\cdot$ such that (i) for each $a \in B$ , the left and right translation mappings $L_{a}:B\to B: x \mapsto a\…