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- W2084586032 abstract "Let G be the set of nonsingular linear transformations of EN which keep f(k, n) fixed as a set. If CN is the center of the full linear group of EN, then GICN is the set of projective transformations of SN_1 which keep Q(k, n) fixed as a set. Let A(n, k) be the group of all k-compounds [1, Vol. 1, p. 291] of elements of Q91n Then A (n, k) I(CN n A (n, k)) may be thought of as the group of projective transformations of SN_1 induced by the group of projective transformations of Sn -1 Since A (n, k) I(CN nA (n, k)) is isomorphic to (A(n, k) CN) ICN, and since A(n, k) CN is a subgroup of G, (A(n, k) CN) ICN is a subgroup of G ICN. The principal results to be proved here are: 1. If n #2k, then" @default.
- W2084586032 created "2016-06-24" @default.
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- W2084586032 date "1963-03-01" @default.
- W2084586032 modified "2023-09-26" @default.
- W2084586032 title "Transformations preserving the Grassmannian" @default.
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- W2084586032 doi "https://doi.org/10.1090/s0002-9947-1963-0154882-3" @default.
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