Addendum to 'Bosonic formulas for (k, l)-admissible partitions'

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

doi:10.1023/B:RAMA.0000012431.06614.0e

Addendum to '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

7 Scopus citations

Abstract

In our previous paper we made a combinatorial study of (k, l)-admissible partitions. This object appeared already in the work of M. Primc as a label of a basis of level k-integrable modules over s-fraktur sign l-fraktur sign _l. We clarify the relation between these two works. As a by product we obtain an explicit parameterization of the affine Weyl group of s-fraktur sign l-fraktur sign_l by a simple combinatorial set.

Original language	English
Pages (from-to)	519-530
Number of pages	12
Journal	Ramanujan Journal
Volume	7
Issue number	4
DOIs	https://doi.org/10.1023/B:RAMA.0000012431.06614.0e
State	Published - Dec 2003
Externally published	Yes

Keywords

Admissible partitions
q-difference equation
q-series

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10.1023/B:RAMA.0000012431.06614.0e

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abstract = "In our previous paper we made a combinatorial study of (k, l)-admissible partitions. This object appeared already in the work of M. Primc as a label of a basis of level k-integrable modules over s-fraktur sign l-fraktur sign l. We clarify the relation between these two works. As a by product we obtain an explicit parameterization of the affine Weyl group of s-fraktur sign l-fraktur signl by a simple combinatorial set.",

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AU - Jimbo, M.

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AU - Miwa, T.

AU - Mukhin, E.

PY - 2003/12

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N2 - In our previous paper we made a combinatorial study of (k, l)-admissible partitions. This object appeared already in the work of M. Primc as a label of a basis of level k-integrable modules over s-fraktur sign l-fraktur sign l. We clarify the relation between these two works. As a by product we obtain an explicit parameterization of the affine Weyl group of s-fraktur sign l-fraktur signl by a simple combinatorial set.

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KW - Admissible partitions

KW - q-difference equation

KW - q-series

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Addendum to 'Bosonic formulas for (k, l)-admissible partitions'

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Bosonic formulas for (k, l)-admissible partitions

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Addendum to 'Bosonic formulas for (k, l)-admissible partitions'

Abstract

Keywords

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Related research output

Bosonic formulas for (k, l)-admissible partitions

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