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Low dimensional modules over quantum complete intersections in two variables
Authors:Hanyang YOU  Pu ZHANG
Institution:School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200241, China
Abstract:We classify all the indecomposable modules of dimension≤5 over the quantum exterior algebra k(x,y)/?x2,y2,xy+qyx? in two variables, and all the indecomposable modules of dimension≤3 over the quantum complete intersection k(x,y)/?xm,yn,xy+qyx? in two variables, where m or n≥3, by giving explicitly their diagram presentations.
Keywords:Quantum exterior algebra  quantum complete intersection  diagram presentation of a module  
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