Extended quadratic algebra and a model of the equivariant cohomology ring of flag varieties

DOI10.1090/S1061-0022-2011-01151-3zbMath1233.05213arXiv0712.2580OpenAlexW2089072331MaRDI QIDQ3013551

Toshiaki Maeno, Anatol N. Kirillov

Publication date: 18 July 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.2580

zbMATH Keywords

equivariant Pieri ruleroot system of type \(A\)Nichols-Woronowicz algebra

Mathematics Subject Classification ID

Related Items (3)

On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials ⋮ Nichols-Woronowicz algebra model for Schubert calculus on Coxeter groups. ⋮ On the quadratic dual of the Fomin–Kirillov algebras

Cites Work

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• A Pieri-type formula for \(H^*_T(SL_n(\mathbb C)/B)\)
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Harmonic polynomials and peak sets of reflection groups
• Noncommutative algebras related with Schubert calculus on Coxeter groups
• Quantum double Schubert polynomials, quantum Schubert polynomials and Vafa-Intriligator formula
• An operator-theoretic approach to invariant integrals on quantum homogeneous \(\text{SU}_{n,1}\)-spaces
• Nichols-Woronowicz algebra model for Schubert calculus on Coxeter groups.
• Free braided differential calculus, braided binomial theorem, and the braided exponential map
• Quantum Schubert polynomials

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