The K-book: An Introduction to Algebraic K-theory

Weibel, C. A. (2013). The K-book: An Introduction to Algebraic K-theory.

Type

Book

Intellectual base

Review or monograph

Year

2013

ISBN

9780821891322

Link

https://sites.math.rutgers.edu/~weibel/Kbook/Kbook.pdf

Cited by

3 citations across 3 artifacts.

Domain-specific

• Dévissage
  • In algebraic K-theory, a separate theorem can identify the K-theory of a suitable exact subcategory with that of a larger abelian category whose objects admit finite filtrations by subcategory pieces.
• Grothendieck group
  • … distinction between constitutive identity and a convenient observable transfers from Completing the additive monoid of natural numbers yields the integers as formal differences of naturals. to A construction accounts for noncancellative monoids and distinguishes group completion from merely embedding M into a group..
• Steinberg group (K-theory)
  • For example, the distinction between constitutive identity and a convenient observable transfers from The symbol x_ij(a) maps to the elementary matrix I+aE_ij, and commutator relations reproduce elementary row-operation algebra. to For a field, Steinberg symbols in K2 encode multiplicative relations such as {a,1−a}=0..

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