On the number of equivalence classes arising from partition involutions II |
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| Authors: | JiSun Huh Byungchan Kim |
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| Institution: | 1. Department of Mathematics, Ajou University, Suwon 16499, Republic of Korea;2. School of Liberal Arts, Seoul National University of Science and Technology, 232 Gongneung-ro, Nowon-gu, Seoul, 01811, Republic of Korea |
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| 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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| Keywords: | Partition Involution Pseudo-conjugation Parity Equivalence class |
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