Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:algebraic_K-theory
|
| gptkbp:firstDefined |
1970s
|
| gptkbp:generalizes |
gptkb:Grothendieck_group
|
| https://www.w3.org/2000/01/rdf-schema#label |
higher algebraic K-groups
|
| gptkbp:importantFor |
gptkb:Bloch-Kato_conjecture
gptkb:Lichtenbaum-Quillen_conjecture motivic conjectures |
| gptkbp:introduced |
gptkb:Daniel_Quillen
|
| gptkbp:K_0 |
gptkb:Grothendieck_group
|
| gptkbp:K_1 |
group of units modulo commutators
|
| gptkbp:K_2 |
Steinberg group quotient
|
| gptkbp:notation |
gptkb:K_n
|
| gptkbp:originatedIn |
rings
exact categories schemes |
| gptkbp:relatedTo |
gptkb:Quillen's_Q-construction
homotopy theory motivic cohomology plus construction |
| gptkbp:satisfies |
gptkb:Mayer-Vietoris_sequence
localization sequence |
| gptkbp:studiedBy |
algebraic K-theorists
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:topology number theory |
| gptkbp:bfsParent |
gptkb:Higher_K-theory
gptkb:Quillen's_higher_algebraic_K-theory_papers |
| gptkbp:bfsLayer |
6
|