Sign Hibi cones and the anti-row iterated Pieri algebras for the general linear groups
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Publication:403124
DOI10.1016/j.jalgebra.2014.01.039zbMath1301.06036OpenAlexW2000759958MaRDI QIDQ403124
Publication date: 29 August 2014
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.01.039
standard monomial theoryGelfand-Tsetlin patternsanti-row iterated Pieri algebrasflat deformationgeneralized iterated Pieri rulelowest weight modulessign Hibi cones
Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Ordered semigroups and monoids (06F05) Rings with straightening laws, Hodge algebras (13F50)
Related Items
Standard bases for tensor products of exterior powers ⋮ Hodge dual operators and model algebras for rational representations of the general linear group ⋮ Hibi algebras and representation theory ⋮ Stanley's non-Ehrhart-positive order polytopes ⋮ Order-chain polytopes
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