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20102026
most citedTowards Smart Wireless Communications via Intelligent Reflecting Surfaces: A Contemporary Survey

959 citations

Showing math.QAShow all

9 papers · 1 filter

math.QA2017★ 1 cited

Rota-Baxter paired modules and their constructions from Hopf algebras

Huihui Zheng, Li Guo, Liangyun Zhang

In this paper, we introduce the concept of a Rota-Baxter paired module to study Rota-Baxter modules without necessarily a Rota-Baxter operator. We obtain two characterizations of R…

math.QA2016★ 3 cited

On the classification of almost square-free modular categories

Jingcheng Dong, Sonia Natale

Let be a modular category of Frobenius-Perron dimension , where is a prime number and is a square-free integer. We show that if then is integral and nil…

math.QA2015★ 1 cited

Braided -extensions of pointed fusion categories

Jingcheng Dong

We classify braided -extensions of pointed fusion categories, where is a prime number. As an application, we classify modular categories of Frobenius-Perron dimen…

math.QA2014★ 5 cited

Integral modular categories of Frobenius-Perron dimension

Jingcheng Dong, Henry Tucker

Integral modular categories of Frobenius-Perron dimension , where and are primes, are considered. It is already known that such categories are group-theoretical in th…

math.QA2013

On integral fusion categories with low-dimensional simple objects

Jingcheng Dong, Li Dai

Let be an algebraically closedfield of characteristic zero. In this paper we consider an integral fusion category over in which the Frobenius-Perron dimensions of its simpl…

math.QA2013

Weak bimonoids in duoidal categories

Yuanyuan Chen, Gabriella Böhm

Weak bimonoids in duoidal categories are introduced. They provide a common generalization of bimonoids in duoidal categories and of weak bimonoids in braided monoidal categories. U…

math.QA2012

On Hopf monoids in duoidal categories

Gabriella Böhm, Yuanyuan Chen, Liangyun Zhang

Aguiar and Mahajan's bimonoids A in a duoidal category M are studied. Under certain assumptions on M, the Fundamental Theorem of Hopf Modules is shown to hold for A if and only if…

math.QA2012★ 17 cited

Frobenius property for fusion categories of small integral dimension

Jingcheng Dong, Sonia Natale, Leandro Vendramin

Let k be an algebraically closed field of characteristic zero. In this paper we prove that fusion categories of Frobenius-Perron dimensions 84 and 90 are of Frobenius type. Combini…

math.QA2011

The Representations of Quantum Double of Dihedral Groups

Jingcheng Dong, Huixiang Chen

Let be an algebraically closed field of odd characteristic , and let be the dihedral group of order such that . Let denote the quantum double…