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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The maps $B\textrm {Sp}(1)\rightarrow B\textrm {Sp}(n)$
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by Zafer Mahmud PDF
Proc. Amer. Math. Soc. 52 (1975), 473-478 Request permission

Abstract:

Let $Sp(n)$ be the symplectic Lie group. Then it is known that given a map $f:BSp(1) \to BSp(1),{f^{\ast }}:{H^4}(BSp(1),{\mathbf {Z}}) \to {H^4}(BSp(1),{\mathbf {Z}})$ is zero or multiplication by the square of an odd integer. We generalise the latter part of this result using symplectic ${K^{\ast }}$-theory.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 52 (1975), 473-478
  • MSC: Primary 55F40
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0380794-X
  • MathSciNet review: 0380794