Split Orthogonal Group in Odd Dimension
In odd dimension, the corresponding almost-middle group O(n,n+1) is known as the split orthogonal group, and plays a similar role to the split orthogonal group in even dimension.
Read more about this topic: Indefinite Orthogonal Group
Famous quotes containing the words split, group, odd and/or dimension:
“William James once said: “Progress is a terrible thing.” It is more than that: it is also a highly ambiguous notion. For who knows but that a little further on the way a bridge may not have collapsed or a crevice split the earth?”
—Johan Huizinga (1872–1945)
“Instead of seeing society as a collection of clearly defined “interest groups,” society must be reconceptualized as a complex network of groups of interacting individuals whose membership and communication patterns are seldom confined to one such group alone.”
—Diana Crane (b. 1933)
“Borrowers of books—those mutilators of collections, spoilers of the symmetry of shelves, and creators of odd volumes.”
—Charles Lamb (1775–1834)
“Le Corbusier was the sort of relentlessly rational intellectual that only France loves wholeheartedly, the logician who flies higher and higher in ever-decreasing circles until, with one last, utterly inevitable induction, he disappears up his own fundamental aperture and emerges in the fourth dimension as a needle-thin umber bird.”
—Tom Wolfe (b. 1931)