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
-
Absorptive and dispersive processes in a two-level molecule with intramolecular coupling and non-zero permanent dipole moment
M Garcia-Sucre et al 1994 J. Phys. B: At. Mol. Opt. Phys. 27 4945
-
Electrical coupling efficiency of inductive plasma accelerators
Adam Martin and Richard Eskridge 2005 J. Phys. D: Appl. Phys. 38 4168
-
LISA data analysis: Doppler demodulation
Neil J Cornish and Shane L Larson 2003 Class. Quantum Grav. 20 S163
-
Re-entrant disordering of colloidal molecular crystals on two-dimensional periodic substrates
M Mikulis et al 2004 J. Phys.: Condens. Matter 16 7909
-
Study of the autoionising states of the hydrogen atom in intense magnetic fields by the complex coordinate coupled-channel formalism
S K Bhattacharya and Shih-I Chu 1983 J. Phys. B: At. Mol. Phys. 16 L471
-
Frequency- and space-resolved measurement of local density fluctuations in air by laser vibrometry
B Hampel and J Woisetschläger 2006 Meas. Sci. Technol. 17 2835
-
The coefficients of thermal conductivity and electrical resistivity for a chromium-copper alloy (`Hidurel 6')
J E S Venart 1964 Br. J. Appl. Phys. 15 1409
-
Self-discharge synchronizing operations in the external electrode fluorescent multi-lamps backlight
Guangsup Cho et al 2003 J. Phys. D: Appl. Phys. 36 2526
-
Multiphoton above-threshold detachment by intense laser pulses: a new adiabatic approach
D A Telnov and S -I Chu 1995 J. Phys. B: At. Mol. Opt. Phys. 28 2407
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