GOLDIE RANK OF PRIMITIVE QUOTIENTS VIA LATTICE POINT ENUMERATION

DOI10.1017/S0017089513000566zbMath1297.16021arXiv1212.5411OpenAlexW2963009492MaRDI QIDQ5397383

Joanna Meinel, Catharina Stroppel

Publication date: 20 February 2014

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5411

zbMATH Keywords

weightslattice pointsprimitive idealsrings of differential operatorsEhrhart quasi-polynomialsGoldie rankstorus invariant differential operators

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Rings of differential operators (associative algebraic aspects) (16S32) Simple, semisimple, reductive (super)algebras (17B20) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

• Unnamed Item
• Hypertoric category \(\mathcal O\).
• Enveloping algebras of Slodowy slices and Goldie rank
• Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
• Mœglin’s theorem and Goldie rank polynomials in Cartan type A
• Computing the Continuous Discretely
• Lectures on Polytopes

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