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.

引用

页数：12

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