On the number of equivalence classes arising from partition involutions II

Ji Sun Huh; Byungchan Kim

doi:10.1016/j.disc.2021.112410

On the number of equivalence classes arising from partition involutions II

Ji Sun Huh, Byungchan Kim

School of Natural Sciences

Ajou University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, we consider the pseudo-conjugation and its variations on the sets of partitions with restricted cranks and involutions on Frobenius symbols. We give several partition identities revealing relations between the number of equivalence classes in the set of partitions arising from an involution and the number of partitions satisfying a certain parity condition.

Original language	English
Article number	112410
Journal	Discrete Mathematics
Volume	344
Issue number	7
DOIs	https://doi.org/10.1016/j.disc.2021.112410
State	Published - Jul 2021

Keywords

Equivalence class
Involution
Parity
Partition
Pseudo-conjugation

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10.1016/j.disc.2021.112410

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title = "On the number of equivalence classes arising from partition involutions II",

abstract = "In this paper, we consider the pseudo-conjugation and its variations on the sets of partitions with restricted cranks and involutions on Frobenius symbols. We give several partition identities revealing relations between the number of equivalence classes in the set of partitions arising from an involution and the number of partitions satisfying a certain parity condition.",

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AB - In this paper, we consider the pseudo-conjugation and its variations on the sets of partitions with restricted cranks and involutions on Frobenius symbols. We give several partition identities revealing relations between the number of equivalence classes in the set of partitions arising from an involution and the number of partitions satisfying a certain parity condition.

KW - Equivalence class

KW - Involution

KW - Parity

KW - Partition

KW - Pseudo-conjugation

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VL - 344

JO - Discrete Mathematics

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On the number of equivalence classes arising from partition involutions II

Abstract

Keywords

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