Admissible diagrams in quantum nilpotent algebras and combinatoric properties of Weyl groups
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Publication:3068949
DOI10.1090/S1088-4165-2010-00382-9zbMath1233.17011OpenAlexW1975461885MaRDI QIDQ3068949
Antoine Mériaux, Gérard Cauchon
Publication date: 21 January 2011
Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s1088-4165-2010-00382-9
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Ring-theoretic aspects of quantum groups (16T20)
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Cites Work
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- A combinatorial setting for questions in Kazhdan-Lusztig theory
- Combinatorics of \(\mathcal H\)-primes in quantum matrices
- A Poincaré-Birkhoff-Witt theorem for quantized universal enveloping algebras of type \(A_ N\)
- On the field of fractions of certain quantum algebras
- Algebraic structure of multiparameter quantum groups
- Lectures on algebraic quantum groups
- Vanishing of derivations and prime spectra of quantum algebras
- Prime spectrum of \(O_q(M_n(k))\): canonical image and normal separation
- The prime and the primitive spectra of a quantum Bruhat cell translate
- Cauchon diagrams for quantized enveloping algebras
- Total positivity for cominuscule Grassmannians.
- QUANTUM UNIQUE FACTORISATION DOMAINS
- Prime Factor Algebras of the Coordinate Ring of Quantum Matrices
