On the exceptional series, and its descendants

DOI10.1016/S1631-073X(02)02590-6zbMath1017.22008WikidataQ101094371 ScholiaQ101094371MaRDI QIDQ1565889

Pierre Deligne, Gross, Benedict H.

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

adjoint representationexceptional Lie algebradual pairsexceptional seriesFreudenthal's magic square

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Lie algebras of Lie groups (22E60) General properties and structure of complex Lie groups (22E10)

Related Items

Albert algebras over and other rings, A universal dimension formula for complex simple Lie algebras, Series of Lie groups, The sextonions and \(E_{7\frac12}\), Refined composite invariants of torus knots via DAHA, Modular forms of half-integral weight on exceptional groups, Lie algebra and Dynkin index, JOSEPH IDEALS AND LISSE MINIMAL -ALGEBRAS, Jordan algebras, exceptional groups, and Bhargava composition, A class of continuous non-associative algebras arising from algebraic groups including, Minuscule embeddings, Hyperkähler manifolds from the Tits -- Freudenthal magic square, INVARIANT TENSORS AND DIAGRAMS, $E_8$, the most exceptional group, The spin -function on for Siegel modular forms, Deligne categories in lattice models and quantum field theory, \textit{or} making sense of O(N) symmetry with non-integer N, Gradings of Lie algebras, magical spin geometries and matrix factorizations, Seeking SUSY fixed points in the \(4-\epsilon\) expansion

Uses Software

• LiE

Cites Work

• Invariant theory of \(G_ 2\) and \(Spin_ 7\)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item