The Classical Groups: Their Invariants and Representations

E117650
mathematics book monograph non-fiction book

The Classical Groups: Their Invariants and Representations is a foundational mathematical monograph by Hermann Weyl that systematically develops the theory of classical Lie groups, their invariants, and their representation theory.

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All labels observed (2)

Label Occurrences
The Classical Groups 1
The Classical Groups: Their Invariants and Representations canonical 1

Statements (48)

Predicate Object
instanceOf mathematics book ⓘ
monograph ⓘ
non-fiction book ⓘ
author Hermann Weyl ⓘ
authorNationality German ⓘ
authorOfForeword Hermann Weyl ⓘ
basedOn earlier German edition ⓘ
field Lie theory ⓘ
group theory ⓘ
invariant theory ⓘ
mathematics ⓘ
representation theory ⓘ
hasSubjectCategory QA (mathematics) ⓘ
influenced invariant theory in physics ⓘ
mathematical physics ⓘ
modern representation theory ⓘ
theory of Lie groups ⓘ
language English ⓘ
libraryOfCongressSubject Lie group ⓘ
surface form: Lie groups

Representations of groups ⓘ
notableFor development of representation theory via highest weights ⓘ
integration of invariant theory and group representations ⓘ
systematic treatment of classical Lie groups ⓘ
originalLanguage German ⓘ
originalTitle Die klassischen Gruppen ⓘ
publicationYear 1939 ⓘ
publisher Princeton University Press ⓘ
relatedTo quantum mechanics ⓘ
relatedWork Gruppentheorie und Quantenmechanik ⓘ
surface form: The Theory of Groups and Quantum Mechanics
timePeriod 20th century mathematics ⓘ
topic Cartan subalgebras ⓘ
Lie groups ⓘ
Schur–Weyl duality ⓘ
Young diagrams ⓘ
characters of representations ⓘ
classical groups ⓘ
highest weight theory ⓘ
matrix groups ⓘ
orthogonal group ⓘ
polynomial invariants ⓘ
representations of Lie groups ⓘ
symmetric functions ⓘ
symplectic group ⓘ
tensor representations ⓘ
unitary group ⓘ
weights and roots ⓘ
usedIn graduate mathematics education ⓘ
research in representation theory ⓘ

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Hermann Weyl → notableWork → The Classical Groups: Their Invariants and Representations ⓘ
Weyl → notableWork → The Classical Groups: Their Invariants and Representations ⓘ
subject surface form: Hermann Weyl
this entity surface form: The Classical Groups