Differential geometry, Lie groups, and symmetric spaces

Helgason, S. (1978). Differential geometry, Lie groups, and symmetric spaces. Academic Press.

Type

Book

Intellectual base

Review or monograph

Year

1978

Link

no authoritative link yet

Cited by

4 citations across 4 artifacts.

Domain-specific

• Real form (Lie theory)
  • Nonisomorphic real forms can share one complexification, group-level global topology adds distinctions beyond Lie algebras and conjugacy convention must be stated.
• Restricted representation
  • … inclusion, scalar field and representation space, original homomorphism, restricted action, finite or unitary assumptions, irreducible decomposition, multiplicities and branching rule are explicit. to An applied instance preserves the invariant under changed notation, scale, dataset, jurisdiction, or implementation..
• Restricted root system
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Weakly symmetric space
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.

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Registry ID ref:201b1340e5b6 · see in the full table