TY - JOUR
T1 - Fermionic formulas for (κ, 3)-admissible configurations
AU - Feigin, Boris
AU - Jimbo, Michio
AU - Miwa, Tetsuji
AU - Mukhin, Eugene
AU - Takeyama, Yoshihiro
PY - 2004/3
Y1 - 2004/3
N2 - We obtain the fermionic formulas for the characters of (κ, r)-admissible configurations in the case of r = 2 and r = 3. This combinatorial object appears as a label of a basis of certain subspace W(Λ) of level-κ integrable highest weight module of slr. The dual space of W(Λ) is embedded into the space of symmetric polynomials. We introduce a filtration on this space and determine the components of the associated graded space explicitly by using vertex operators. This implies a fermionic formula for the character of W (Λ).
AB - We obtain the fermionic formulas for the characters of (κ, r)-admissible configurations in the case of r = 2 and r = 3. This combinatorial object appears as a label of a basis of certain subspace W(Λ) of level-κ integrable highest weight module of slr. The dual space of W(Λ) is embedded into the space of symmetric polynomials. We introduce a filtration on this space and determine the components of the associated graded space explicitly by using vertex operators. This implies a fermionic formula for the character of W (Λ).
UR - http://www.scopus.com/inward/record.url?scp=3042587333&partnerID=8YFLogxK
U2 - 10.2977/prims/1145475968
DO - 10.2977/prims/1145475968
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AN - SCOPUS:3042587333
SN - 0034-5318
VL - 40
SP - 125
EP - 162
JO - Publications of the Research Institute for Mathematical Sciences
JF - Publications of the Research Institute for Mathematical Sciences
IS - 1
ER -