Vertex operators, t-boson model and weighted plane partitions in finite boxes
2018 ◽
Vol 32
(05)
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pp. 1850061
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Keyword(s):
We consider two different subjects: the algebra of Hall–Littlewood functions and t-boson model. Tsilevich and Sułkowski, respectively, give that the creation operator [Formula: see text] in the monodromy matrix of t-boson model can be represented by [Formula: see text], where [Formula: see text] and [Formula: see text] are vertex operators closely related to the Hall–Littlewood functions. In this paper, we obtain that the annihilation operator [Formula: see text] in the monodromy matrix and other relations of t-boson model can also be realized in the algebra of Hall–Littlewood functions. Meanwhile, we get that the generating functions of weighted plane partitions in finite boxes can be obtained from the operators [Formula: see text].
Keyword(s):
2007 ◽
Vol 59
(3)
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pp. 401-408
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2005 ◽
Vol 38
(43)
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pp. 9415-9430
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1993 ◽
Vol 08
(08)
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pp. 1457-1477
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2005 ◽
Vol 19
(14)
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pp. 2287-2310
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2002 ◽
Vol 44
(01)
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pp. 137
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1995 ◽
pp. 266-275
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Keyword(s):
1984 ◽
Vol 3
(2)
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pp. 175-188
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