Bosonic formulas for (k, l)-admissible partitions

B. Feigin*, M. Jimbo, S. Loktev, T. Miwa, E. Mukhin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

Bosonic formulas for generating series of partitions with certain restrictions are obtained by solving a set of linear matrix q-difference equations. Some particular cases are related to combinatorial problems arising from solvable lattice models, representation theory and conformal field theory.

Original languageEnglish
Pages (from-to)485-517
Number of pages33
JournalRamanujan Journal
Volume7
Issue number4
DOIs
StatePublished - Dec 2003
Externally publishedYes

Keywords

  • Admissible partitions
  • Difference equation
  • q-series

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