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

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

Previous Articles Next Articles

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

Department of Mathematics, South China University of Technology

Received:2014-12-12 Online:2015-03-30 Published:2020-11-24
About author: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.
Supported by:
Supported by the NSFC(11475178)；

Abstract

CLC Number:

O152.5

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.

[1]	HOU Bo, KOU Wen. Construction of a Class of Gerstenhaber Algebras [J]. Chinese Quarterly Journal of Mathematics, 2023, 38(4): 370-378.
[2]	CHENG Yong-sheng, WANG Meng-ping. Homology of Bihom-Lie Algebras [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(3): 237-247.
[3]	NIU Meng-nan. Simple Bounded Weight Modules for the Vector Field Lie Algebras of Infinite Rank [J]. Chinese Quarterly Journal of Mathematics, 2020, 35(2): 194-198.
[4]	TAO Si-xing. Nonlinear Super Integrable Couplings of A Super Integrable Hierarchy and Its Super Hamiltonian Structures [J]. Chinese Quarterly Journal of Mathematics, 2018, 33(2): 181-193.
[5]	LI Xiao-chao, JIN Quan-qin. Solvable Lie Algebras with Nilradical \tilde{Q}_{2n+1} and Their Casimir Invariants [J]. Chinese Quarterly Journal of Mathematics, 2017, 32(1): 99-110.
[6]	QI Huan-ge, CHENG Yong-sheng, WANG Meng-ping, WU Lin-li. Kac Determinant Formula for the q-deformed Virasoro Algebra of Hom-type [J]. Chinese Quarterly Journal of Mathematics, 2016, 31(4): 331-339.
[7]	WEI Han-yu, CUI Zhong-yuan, XIA Tie-cheng. Self-consistent Sources and Conservation Laws for Super-Geng Equation Hierarchy [J]. Chinese Quarterly Journal of Mathematics, 2016, 31(2): 201-210.
[8]	HU Yu-wang, GENG Ya-jun. Monomials with t-value ≤6 in Canonical Basis of Quantized Enveloping Algebra of Type B₃ [J]. Chinese Quarterly Journal of Mathematics, 2015, 30(3): 462-474.
[9]	CHEN Zheng-xin, WANG Bing. Linear Commuting Maps on Parabolic Subalgebras of Finite-dimensional Simple Lie Algebras [J]. Chinese Quarterly Journal of Mathematics, 2014, 29(4): 516-522.
[10]	HE Fu-li. Decomposition for Complex Clifford Algebra of Even Dimension [J]. Chinese Quarterly Journal of Mathematics, 2014, 29(3): 317-324.
[11]	LI Xiao-chao, LI Dong-ya, JIN Quan-qin. A Class of Solvable Lie Algebras and Their Hom-Lie Algebra Structures [J]. Chinese Quarterly Journal of Mathematics, 2014, 29(2): 231-237.
[12]	YU De-min, LI Ai-hua. Simplicities and Automorphisms of a Special Inﬁnite Dimensional Lie Algebra [J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 612-617.
[13]	WU Ming-zhong. The Derivation Algebra of Q_nFiliform Lie Algebra [J]. Chinese Quarterly Journal of Mathematics, 2013, 28(3): 397-401.
[14]	ZHAO Yan-xia, WANG Deng-yin. Non-linear Maps on Borel Subalgebras of Simple Lie Algebras Preserving Abelin Ideals [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(4): 615-623.
[15]	CHENG Yong-sheng, CHE Ying-tao. The Automorphism Group of the Lie Group T(D(V_N, F)) [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 200-207.

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

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments