2017/06/14 by Bai, Liqian, Chen, Xueqing, Ding, Ming +1
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1706.04376
The objective of the present paper is to prove cluster multiplication theorem in the quantum cluster algebra of type A2(2). As corollaries, we obtain bar-invariant ℤ[q±(1)/(2)]-bases established in [6], and naturally deduce the positivity of the elements in these bases. One bar-invariant basis as the triangular basis of this quantum cluster algebra is also explicitly described.