Principal subspaces of higher-level standard sl(3)^-modules

Details Principal subspaces of higher-level standard sl(3)^-modules Principal subspaces of higher-level standard sl(3)^-modules

2006-11-17

arxiv.org/abs/math/0611540v2

J. Pure Appl. Algebra 210 (2007), 559-575

Mathematics

Quantum Algebra

25 pages; v2: minor revisions

Scientific paper

We use the theory of vertex operator algebras and intertwining operators to obtain systems of q-difference equations satisfied by the graded dimensions of the principal subspaces of certain level k standard modules for \hat{\goth{sl}(3)}. As a consequence we establish new formulas for the graded dimensions of the principal subspaces corresponding to the highest-weights i\Lambda_1+(k-i)\Lambda_2, where 1 \leq i \leq k and \Lambda_1 and \Lambda_2 are fundamental weights of \hat{\goth{sl}(3)}.

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