TY - JOUR
T1 - The quantum toroidal algebra gl1
T2 - Calculation of characters of some representations as generating functions of plane partitions
AU - Mutafyan, G. S.
AU - Feigin, B. L.
PY - 2013/3
Y1 - 2013/3
N2 - The generating function of plane partitions {ai,j} subject to the constraint am,n = 0 is expressed and calculated as the character of an irreducible representation of the quantum toroidal algebra gl1 in the case K = q1mq2n.
AB - The generating function of plane partitions {ai,j} subject to the constraint am,n = 0 is expressed and calculated as the character of an irreducible representation of the quantum toroidal algebra gl1 in the case K = q1mq2n.
KW - plane partitions
KW - representations of the Lie algebra gl(∞)
KW - RSK algorithm
UR - http://www.scopus.com/inward/record.url?scp=84874895670&partnerID=8YFLogxK
U2 - 10.1007/s10688-013-0006-z
DO - 10.1007/s10688-013-0006-z
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AN - SCOPUS:84874895670
SN - 0016-2663
VL - 47
SP - 50
EP - 61
JO - Functional Analysis and its Applications
JF - Functional Analysis and its Applications
IS - 1
ER -