Representation-functors and flag-algebras for the classical groups. I
From MaRDI portal
Publication:1142814
DOI10.1016/0021-8693(79)90149-2zbMath0441.14013OpenAlexW2091419864MaRDI QIDQ1142814
Publication date: 1979
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(79)90149-2
Representation theory for linear algebraic groups (20G05) Affine algebraic groups, hyperalgebra constructions (14L17)
Related Items
Recursive Algorithms for Unitary and Symplectic Group Representations, On the Plücker relations in the case of a basic classical complex Lie superalgebra, Geometry of G/P. V, Equations defining Schubert varieties and Frobenius splitting of diagonals, Quasi-associativity and flatness criteria for quadratic algebra deformations, Quantum orbits of the \(R\)-matrix type, Determinantal method and the Littlewood-Richardson rule, Diamond representations of \({\mathfrak {sl}}(n)\), Quantization of Poisson pencils and generalized Lie algebras, Standard bases for tensor products of exterior powers, Young symmetry, the flag manifold, and representations of GL(n), Generators and relations for the affine rings of the classical groups, Hodge dual operators and model algebras for rational representations of the general linear group, Distributive lattices, affine semigroups, and branching rules of the classical groups, Syzygy algebras for Segre embeddings, Standard monomial theory for flag algebras of GL\((n)\)and Sp\((2n)\), Standard monomial bases and degenerations of \(SO_m(\mathbb C)\) representations, Schur functors for the symplectic group, Representation functors and flag-algebras for the classical groups. II, Tensor operators III: Some fundamental tensor operator identities, Highest weights, projective geometry, and the classical limit. I: Geometrical aspects and the classical limit, Self-commuting cone for basic classical and strange Lie superalgebras., Hilbert series of modules over Lie algebroids, ``Classical flag varieties for quantum groups: the standard quantum \(\text{SL}(n,{\mathbb C})\).
Cites Work
- Unnamed Item
- Hyperidentities of quasilinear clones on the three-element set.
- Young symmetry, the flag manifold, and representations of GL(n)
- Composition of oriented binary quadratic form-classes over commutative rings
- On the modular representations of the general linear and symmetric groups
- Two new functors from modules to algebras
- Representation functors and flag-algebras for the classical groups. II
- Group Representations and Functors
- On Free Exterior Powers
