Finite-dimensional Hopf superalgebras and graded pentagon equation

被引：0
|
作者：
Dai, Han [1 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2024年 / 203卷
关键词：
Finite -dimensional Hopf superalgebras; Graded pentagon equation; Heisenberg double; Monoidal categories; DRINFELD;
D O I：
10.1016/j.geomphys.2024.105271
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose that H is an arbitrary finite-dimensional Hopf superalgebra. Let H(H) be the Heisenberg double of H and let R be the canonical matrix of H(H) that satisfies the graded pentagon equation R12R13R23 = R23R12. It is established that H is isomorphic to the Hopf superalgebra P(H(H), R) of left coefficients of R. This result can be regarded as a generalisation of Militaru's result [10] from the non-super situation to the super situation. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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