The z -divided powers (depending on a parity) form the zcanonical basis for the split rank 1 zquantum group and they are a basic ingredient for zquantum groups of higher rank. We obtain closed formulae for the structure constants for multiplication of the z -divided powers. Closed formulae for the comultiplication of the z -divided powers are also obtained. These structure constants are integral and positive.(c) 2022 Elsevier Inc. All rights reserved.
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Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China
Hou, Lihang
Song, Yali
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Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China
Song, Yali
Hou, Bo
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Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China