Eddy Ardonne et al 2005 J. Phys. A: Math. Gen. 38 9183 doi:10.1088/0305-4470/38/42/002
Fusion products, Kostka polynomials and fermionic characters of 
Eddy Ardonne1, Rinat Kedem2 and Michael Stone1
Show affiliationsUsing a form factor approach, we define and compute the character of the fusion product of rectangular representations of 
. This character decomposes into a sum of characters of irreducible representations, but with q-dependent coefficients. We identify these coefficients as (generalized) Kostka polynomials. Using this result, we obtain a formula for the characters of arbitrary integrable highest weight representations of 
in terms of the fermionic characters of the rectangular highest weight representations.
- PACS
- MSC
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81T40 Two-dimensional field theories, conformal field theories, etc.
17Bxx Lie algebras and Lie superalgebras (For Lie groups, see 22Exx)
14R10 Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)
- Subjects
- Dates
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Issue 42 (21 October 2005)
Received 3 July 2005, in final form 26 August 2005
Published 5 October 2005
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Fusion products, Kostka polynomials and fermionic characters of
Eddy Ardonne et al 2005 J. Phys. A: Math. Gen. 38 9183
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