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Transvection matrices generate $ \operatorname{SL}_n(\mathbb{R}) $

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#matrices #group-theory #algebraic-k-theory
162
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Question on the map from algebraic K_0 to topological K_0

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#algebraic-geometry #topological-k-theory #algebraic-k-theory
616
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Symmetric groups and the "field with one element"

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#group-theory #intuition #finite-fields #symmetric-groups #algebraic-k-theory
396
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Relationship between topological and Quillen's K-theory

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#topological-k-theory #algebraic-k-theory #k-theory
270
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What are the sheaves in the $G$-equivariant resolutions seen as vector bundles?

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#algebraic-geometry #complex-geometry #sheaf-theory #algebraic-k-theory
163
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How does group cohomology relate to algebraic k-theory?

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#group-cohomology #k-theory #algebraic-k-theory
655
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Establishing a right-exact sequence in K-theory

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#algebraic-geometry #homological-algebra #k-theory #algebraic-k-theory
478
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Grothendieck group of $\mathbb P^n$

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#algebraic-geometry #algebraic-k-theory
400
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Koszul complexes of twisting sheaves

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#algebraic-geometry #k-theory #algebraic-k-theory
337
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Atiyah–Jänich for $K_1$

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#algebraic-topology #k-theory #topological-k-theory #classifying-spaces #algebraic-k-theory
312
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Why is $BGL(R)^+$ an $H$-space?

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#reference-request #algebraic-topology #homotopy-theory #algebraic-k-theory
548
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How to show directly that two elements become equal in Grothendieck group?

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#group-theory #algebraic-k-theory #grothendieck-construction
2.3k
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Topological vs. Algebraic $K$-Theory

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#algebraic-topology #homology-cohomology #c-star-algebras #topological-k-theory #algebraic-k-theory
741
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What is the connection of the sequence 3, 4, 5/3, 2/3, 1 with deep topics?

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#sequences-and-series #hyperbolic-geometry #algebraic-k-theory
496
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Chromatic Filtration of Burnside Ring

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#group-theory #algebraic-topology #category-theory #homotopy-theory #algebraic-k-theory

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