Standard monomial theory. Invariant theoretic approach
From MaRDI portal
Publication:2469762
zbMath1137.14036MaRDI QIDQ2469762
Komaranapuram N. Raghavan, Venkatramani Lakshmibai
Publication date: 7 February 2008
Published in: Encyclopaedia of Mathematical Sciences (Search for Journal in Brave)
Determinantal varieties (14M12) Grassmannians, Schubert varieties, flag manifolds (14M15) Actions of groups on commutative rings; invariant theory (13A50) Classical groups (algebro-geometric aspects) (14L35) Rings with straightening laws, Hodge algebras (13F50)
Related Items (51)
Box graphs and singular fibers ⋮ Torus quotients of Schubert varieties in the Grassmannian \(G_{2,n}\) ⋮ Euler obstructions for the Lagrangian Grassmannian ⋮ Three Takes on Almost Complete Intersection Ideals of Grade 3 ⋮ Local Euler obstructions for determinantal varieties ⋮ Quantum analogues of Richardson varieties in the Grassmannian and their toric degeneration. ⋮ Associated forms of binary quartics and ternary cubics ⋮ Wahl's conjecture for a minuscule \(G/P\) ⋮ Splitting criteria for vector bundles on minuscule homogeneous varieties ⋮ From standard monomial theory to semi-toric degenerations via Newton–Okounkov bodies ⋮ Homogeneous contact manifolds and resolutions of Calabi-Yau cones ⋮ A web basis of invariant polynomials from noncrossing partitions ⋮ Newton–Okounkov polytopes of flag varieties and marked chain-order polytopes ⋮ Lexicographic shellability of partial involutions ⋮ Rings of invariants for three dimensional modular representations ⋮ Torus quotients of some flag varieties ⋮ Derived supersymmetries of determinantal varieties ⋮ Projections of the minimal nilpotent orbit in a simple Lie algebra and secant varieties ⋮ Associated forms: current progress and open problems ⋮ Schubert varieties in the Grassmannian and the symplectic Grassmannian via a bounded RSK correspondence ⋮ Seshadri stratifications and standard monomial theory ⋮ Levi-spherical Schubert varieties ⋮ Iwahori-Hecke algebra and unramified local \(L\)-functions ⋮ Spinor structures on free resolutions of codimension four Gorenstein ideals ⋮ Kähler-Ricci flow on rational homogeneous varieties ⋮ Classifying Levi-spherical Schubert varieties ⋮ On the Borel submonoid of a symplectic monoid ⋮ Toroidal Schubert varieties ⋮ Torus quotients of Richardson varieties in \(G_{r, qr+1}\) ⋮ Cotangent bundles of minuscule \(G/P\) ⋮ Gröbner bases, symmetric matrices, and type C Kazhdan–Lusztig varieties ⋮ A non-iterative formula for straightening fillings of Young diagrams ⋮ NONCROSSING SETS AND A GRASSMANN ASSOCIAHEDRON ⋮ Torus quotient of Richardson varieties in orthogonal and symplectic grassmannians ⋮ Geometry of pure spinor formalism in superstring theory ⋮ Hodge ideals for the determinant hypersurface ⋮ Calabi-Yau metrics on canonical bundles of complex flag manifolds ⋮ A basis for the symplectic group branching algebra ⋮ Levi subgroup actions on Schubert varieties, induced decompositions of their coordinate rings, and sphericity consequences ⋮ Conormal varieties on the cominuscule Grassmannian. II ⋮ ABCD of 't Hooft operators ⋮ Supersymmetric deformations of maximally supersymmetric gauge theories ⋮ Matrix Schubert varieties and Gaussian conditional independence models ⋮ Flag varieties as equivariant compactifications of $\mathbb{G}_{a}^{n}$ ⋮ Stability of associated forms ⋮ Geometric complexity theory V: Efficient algorithms for Noether normalization ⋮ Cohomology of the flag variety under PBW degenerations ⋮ \(W\)-translated Schubert divisors and transversal intersections ⋮ Invariants of multidimensional time series based on their iterated-integral signature ⋮ Conormal varieties on the cominuscule Grassmannian ⋮ Schubert varieties and finite free resolutions of length three
This page was built for publication: Standard monomial theory. Invariant theoretic approach
