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

By C. Calinescu. 2006

53 citations recorded by the source corpus.

Abstract 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 s l ( 3 ) . As a consequence we establish new formulas for the graded dimensions of the principal subspaces corresponding to the highest weights i Λ 1 + ( k − i ) Λ 2 , where 1 ≤ i ≤ k and Λ 1 and Λ 2 are fundamental weights of s l ( 3 ) .

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b3772ac6f30065f2fc5e421b6d53787c3f693f4e

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In Algebra and Number Theory

1. Michal Penn
2. Antun Milas

In Geometry and Topology

1. Michal Penn
2. Antun Milas

In Statistical and Nonlinear Physics

1. Michal Penn
2. Antun Milas

Citations in the corpus

• Lattice vertex algebras and combinatorial bases: general case and W-algebras (2012, background): “But the “full” principal subspace introduced in the pioneering work [18] and investigated further in [4], [5], [8], [9], [12], [23] is generically noncommutative so results from Part I [29] cannot be easily modified.”