Dimension and enumeration of primitive ideals in quantum algebras.

DOI10.1007/S10801-008-0132-5zbMath1263.16038arXiv0705.3413OpenAlexW2159572993MaRDI QIDQ1016567

J. Martínez

Publication date: 6 May 2009

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3413

zbMATH Keywords

quantum matricesprime idealsGelfand-Kirillov dimensionprimitive idealsperfect matchingsPfaffiansquantised enveloping algebrasCauchon diagramsrational torus actions

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Growth rate, Gelfand-Kirillov dimension (16P90) Group actions on varieties or schemes (quotients) (14L30) Ideals in associative algebras (16D25) Ring-theoretic aspects of quantum groups (16T20)

Related Items (5)

Total Positivity is a Quantum Phenomenon: The Grassmannian Case ⋮ The Dixmier-Moeglin equivalence for Leavitt path algebras. ⋮ Enumeration of \(\mathcal H\)-strata in quantum matrices with respect to dimension ⋮ Tauvel’s height formula for quantum nilpotent algebras ⋮ An automaton-theoretic approach to the representation theory of quantum algebras

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