ON SOME ALGEBRAIC AND COMBINATORIAL PROPERTIES OF DUNKL ELEMENTS

DOI10.1142/S0217979212430126zbMath1260.13030MaRDI QIDQ4915816

Anatol N. Kirillov

Publication date: 12 April 2013

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

Schubert polynomialsGrothendieck polynomialsCatalan numbers, Schroder numbersDunkl and Gaudin operators at critical level

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Quadratic and Koszul algebras (16S37)

Related Items

Notes on Schubert, Grothendieck and key polynomials, Subalgebras of the Fomin-Kirillov algebra, \(t\)-unique reductions for Mészáros's subdivision algebra, \(h\)-polynomials via reduced forms, On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials, Bethe subalgebras in Hecke algebra and Gaudin models, Vexillary degeneracy loci classes in \(K\)-theory and algebraic cobordism, $h$-Polynomials of Reduction Trees, On the commutative quotient of Fomin-Kirillov algebras

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