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July 29, 2026Annals of CombinatoricsOpen Access

Transition Matrices Between Plethystic Bases of Polysymmetric Functions via Bijective Methods

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Authors

AKAditya Khanna

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Overview

Randomized trial explores bijective methods for proving identities in polysymmetric functions, highlighting combinatorial interpretations.

Key Points

  • The aim is to prove identities and expansions involving polysymmetric functions through bijective methods.
  • Utilized bijective manipulations of tableaux to prove identities.
  • Developed combinatorial interpretations for transition matrices between distinct plethystic bases.
  • Investigated connections to six sequences from the OEIS.
  • Identities involving polysymmetric functions were successfully proven through bijective techniques.
  • Combinatorial interpretations were established for entries of transition matrices between plethystic bases.
  • Identified new interpretations for six OEIS sequences within the context of polysymmetric functions.

Cite This Study

Aditya Khanna (2026) studied this question.

synapsesocial.com/papers/6a69a2fcc8da07d9defa7177https://doi.org/10.1007/s00026-026-00838-6
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