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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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Brauer groups of linear algebraic groups with characters
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by Andy R. Magid PDF
Proc. Amer. Math. Soc. 71 (1978), 164-168 Request permission

Abstract:

Let G be a connected linear algebraic group over an algebraically closed field of characteristic zero. Then the Brauer group of G is shown to be $C \times {({\mathbf {Q}}/Z)^{(n)}}$ where C is finite and $n = d(d - 1)/2$, with d the Z-rank of the character group of G. In particular, a linear torus of dimension d has Brauer group ${({\mathbf {Q}}/Z)^{(n)}}$ with n as above.
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 71 (1978), 164-168
  • MSC: Primary 13A20; Secondary 14F20, 14L15, 20G15
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0485816-6
  • MathSciNet review: 0485816