期刊
KYOTO JOURNAL OF MATHEMATICS
卷 52, 期 3, 页码 621-659出版社
DUKE UNIV PRESS
DOI: 10.1215/21562261-1625217
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资金
- Russian Foundation for Basic Research (RFBR) initiative interdisciplinary project [09-02-12446-ofi-m]
- RFBR-CNRS [09-02-93106]
- RFBR [08-01-00720-a, NSh-3472.2008.2, 07-01-92214-CNRSL-a]
- National Science Foundation [DMS-0900984]
- [B-23340039]
- Grants-in-Aid for Scientific Research [22340031] Funding Source: KAKEN
In this, the third paper of the series, we construct a large family of representations of the quantum toroidal gl(1)-algebra whose bases are parameterized by plane partitions with various boundary conditions and restrictions. We study the corresponding formal characters. As an application We obtain a Gelfand-Zetlin-type basis for a class of irreducible lowest weight gl(infinity)-modules.
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