Invariant theory of \(G_ 2\) and \(Spin_ 7\)

DOI10.1007/BF02566782zbMath0664.14006MaRDI QIDQ1115493

Gerald W. Schwarz

Publication date: 1988

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140137

zbMATH Keywords

generatorsPoincaré seriesCayley algebra\(B_ 3\)\(G_ 2\)invariant theory for semisimple complex algebraic group

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (21)

Central elements of the universal enveloping algebra and functions of matrix elements ⋮ Strongly multiplicity free modules for Lie algebras and quantum groups ⋮ Trace polynomials and invariant theory ⋮ On the distribution of Jacobi sums ⋮ ON M_x-invariants in S(_n) and U(_n) ⋮ Lifting differential operators from orbit spaces ⋮ On invariants of the group of automorphisms of albert algebras ⋮ On tensor categories of Lie type \(E_{N}, N\neq 9\) ⋮ Syzygies for the vector invariants of the dihedral group ⋮ Cross products, invariants, and centralizers ⋮ CONNECTIONS AND GENERALIZED GAUGE TRANSFORMATIONS ⋮ First fundamental theorem for covariants of classical groups. ⋮ Embeddings for the Jordan algebra of a bilinear form ⋮ Conditions satisfied by characteristic polynomials in fields and division algebras ⋮ Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic ⋮ Unnamed Item ⋮ Completing the classification of representations of \(SL_n\) with complete intersection invariant ring ⋮ On the exceptional series, and its descendants ⋮ Acceptable compact Lie groups ⋮ Representations with a reduced null cone ⋮ The Capelli identity, the double commutant theorem, and multiplicity-free actions

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