Stable summands of U(n)

  title={Stable summands of U(n)},
  author={J. R. Hubbuck and John A. W. McCall}
The unitary group U(n), n ≥ 1, is filtered by the subspaces U(n) = {g ∈ U(n) | dimker(g − 1) ≥ n− k}, 0 ≤ k ≤ n, which satisfy U(n) · U(n) ⊆ U(n). The quotient U(n)(k)/U(n)(k−1), denoted by Xk(n) for 1 ≤ k ≤ n, is naturally identified with the Thom space Gk(C n )k of the Lie algebra bundle associated to the canonical k-dimensional bundle, γk, over the… CONTINUE READING