Galois descent for real spectra
نویسندگان
چکیده
منابع مشابه
Galois Descent
Let L/K be a field extension. A K-vector space W can be extended to an L-vector space L⊗KW , and W embeds into L⊗KW by w 7→ 1⊗w. Under this embedding, when W 6= 0 a K-basis {ei} of W turns into an L-basis {1⊗ ei} of L⊗KW . Passing from W to L⊗KW is called ascent. In the other direction, if we are given an L-vector space V 6= 0, we may ask how to describe the K-subspaces W ⊂ V such that a K-basi...
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Let En be the n-th Lubin-Tate spectrum at a prime p. There is a commutative S-algebra E n whose coefficients are built from the coefficients of En and contain all roots of unity whose order is not divisible by p. For odd primes p we show that E n does not have any non-trivial connected finite Galois extensions and is thus separably closed in the sense of Rognes. At the prime 2 we prove that the...
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We describe a simplified categorical approach to Galois descent theory. It is well known that Galois descent is a special case of Grothendieck descent, and that under mild additional conditions the category of Grothendieck descent data coincides with the Eilenberg-Moore category of algebras over a suitable monad. This also suggests using monads directly, and our monadic approach to Galois desce...
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ژورنال
عنوان ژورنال: Journal of Homotopy and Related Structures
سال: 2016
ISSN: 2193-8407,1512-2891
DOI: 10.1007/s40062-016-0127-1