Geometric Invariant Theory

Mumford, D., Fogarty, J., & Kirwan, F. (1994). Geometric Invariant Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete.

Type

Book

Intellectual base

Review or monograph

Year

1994

DOI

10.1007/978-3-642-57916-5

ISBN

9783642634000

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/978-3-642-57916-5

Cited by

3 citations across 3 artifacts.

Domain-specific

• Categorical quotient
  • A categorical quotient of a G-object X is a G-invariant morphism pi to Y that is universal among all invariant morphisms out of X.
• Geometric quotient
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Reynolds operator
  • … between constitutive identity and a convenient observable transfers from For a compact group acting linearly, integration over normalized Haar measure projects a vector onto the fixed subspace. to Reynolds decomposition writes a velocity field as mean plus fluctuation before averaging the Navier–Stokes equations..

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