Integrable \mathfraksl₂-modules as infinite tensor products

2002/05/27 by B. Feigin, Feigin, B., E. Feigin +1
Mathematics · #17B67 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:17B67

paper · pdf · doi:10.48550/arxiv.math/0205281

22 pages

arxiv created 2002/05/27 · arxiv updated 2009/11/30

Abstract

Using the fusion product of the representations of the Lie algebra \mathfraksl₂ we construct a set of the integrable highest weight \mathfraksl₂-modules L^D, depending on the vector D∈ℕ^k+1. In a special cases of D our modules are isomorphic to the irreducible \mathfraksl₂-modules L_i,k. We construct a basis of the L^D and study the decomposition of L^D on the irreducible components. We also write a formulas for the characters of L^D.

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