Weyl chambers and standard monomial theory for poset lattice cones

DOI10.4310/PAMQ.2005.v1.n1.a11zbMath1102.13023OpenAlexW1996246830MaRDI QIDQ2501378

Roger E. Howe

Publication date: 6 September 2006

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/pamq.2005.v1.n1.a11

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Group actions on varieties or schemes (quotients) (14L30) Classical groups (algebro-geometric aspects) (14L35) Semigroup rings, multiplicative semigroups of rings (20M25) Rings with straightening laws, Hodge algebras (13F50) Ordered sets (06Axx)

Related Items (12)

Pieri algebras for the orthogonal and symplectic groups ⋮ A note on the regularity of Hibi rings ⋮ Standard bases for tensor products of exterior powers ⋮ Sign Hibi cones and the anti-row iterated Pieri algebras for the general linear 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 ⋮ The nullcone in the multi-vector representation of the symplectic group and related combinatorics ⋮ Why should the Littlewood–Richardson Rule be true? ⋮ A basis for the symplectic group branching algebra ⋮ Standard monomial theory for flag algebras of GL\((n)\)and Sp\((2n)\) ⋮ Hibi algebras and representation theory ⋮ Measuring the non-Gorenstein locus of Hibi rings and normal affine semigroup rings

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