Bosonic formulas for (k, l)-admissible partitions

B. Feigin; M. Jimbo; S. Loktev; T. Miwa; E. Mukhin

doi:10.1023/B:RAMA.0000012430.68976.c0

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 journal › Article › peer-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 language	English
Pages (from-to)	485-517
Number of pages	33
Journal	Ramanujan Journal
Volume	7
Issue number	4
DOIs	https://doi.org/10.1023/B:RAMA.0000012430.68976.c0
State	Published - Dec 2003
Externally published	Yes

Keywords

Admissible partitions
Difference equation
q-series

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10.1023/B:RAMA.0000012430.68976.c0

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title = "Bosonic formulas for (k, l)-admissible partitions",

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.",

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author = "B. Feigin and M. Jimbo and S. Loktev and T. Miwa and E. Mukhin",

year = "2003",

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AU - Jimbo, M.

AU - Loktev, S.

AU - Miwa, T.

AU - Mukhin, E.

PY - 2003/12

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AB - 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.

KW - Admissible partitions

KW - Difference equation

KW - q-series

UR - https://www.scopus.com/pages/publications/4043092206

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Bosonic formulas for (k, l)-admissible partitions

Abstract

Keywords

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