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Algebras and Representation Theory

, Volume 20, Issue 2, pp 257–273 | Cite as

Recurrence Formulas for Kostka and Inverse Kostka Numbers via Quantum Cohomology of Grassmannians

  • Zoran Z. Petrović
  • Marko Radovanović
Article
  • 64 Downloads

Abstract

A Gröbner basis for the small quantum cohomology of Grassmannian G k,n is constructed and used to obtain new recurrence relations for Kostka numbers and inverse Kostka numbers. Using these relations it is shown how to determine inverse Kostka numbers which are related to the mod-p Wu formula.

Keywords

Quantum cohomology Gröbner basis Grassmannian (Inverse) Kostka numbers 

Mathematics Subject Classification (2010)

05E05 13P10 14M15 57R20 

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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Faculty of MathematicsUniversity of BelgradeBelgradeSerbia

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