Quantum Grothendieck polynomials

1996/10/30 by Anatol N. Kirillov, Kirillov, Anatol N. · 3 citations
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9610034

PlainTeX, 13 pages

arxiv created 1996/10/30 · arxiv updated 2009/11/30

Abstract

We study the algebraic aspects of (small) quantum equivariant K-theory of flag manifold. Lascoux-Schützenberger's type formula for quantum double and quantum double dual Grothendieck polynomials and the quantum Cauchy identity for quantum Grothendieck polynomials are obtained.

Cited by

• Conjectural Positivity for Pontryagin Product in Equivariant K-theory of Loop Groups
• Weighted K-k-Schur functions and their application to the K-k-Schur alternating conjecture
• Relativistic Toda lattice and equivariant K-homology of affine Grassmannian

Related

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