Quantum Cluster Algebra Structure on the Quantum Grothendieck Ring K t−1

Yahia Badawi Bashir Meny, MA Hai-tao, YANG Yan-min

doi:10.13371/j.cnki.chin.q.j.m.2015.01.002

Chinese Quarterly Journal of Mathematics >

2015 , Vol. 30 >Issue 1: 12 - 19

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.01.002

Quantum Cluster Algebra Structure on the Quantum Grothendieck Ring K_t−1

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Department of Mathematics, South China University of Technology

Yahia Badawi Bashir Meng(1974-), male, native of Republic of the Sudan, a doctoral candidate of South China University of Technology, engages in mathematical physics; MA Hai-tao(1987-), male, native of Jiaozuo, Henan, a doctoral candidate of South China University of Technology, engages in mathematical physics; YANG Yan-min(1987-), female(Baizu), native of Dali, Yunnan, a doctoral candidate of South China University of Technology, engages in mathematical physics.

Received date: 2014-12-12

Online published: 2020-11-24

Supported by

Supported by the NSFC(11475178)；

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Abstract

In this paper, we give a quantum cluster algebra structure on the deformed Grothendieck ring K_t-1which is defined in section 2.

Key words： quantum cluster algebra; deformed Grothendieck ring

Cite this article

Yahia Badawi Bashir Meny, MA Hai-tao, YANG Yan-min . Quantum Cluster Algebra Structure on the Quantum Grothendieck Ring K_t−1[J]. Chinese Quarterly Journal of Mathematics, 2015 , 30(1) : 12 -19 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.01.002

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