@article{8cc57091dba9498bbb0d3cac844a3b13,

title = "Andrews-gordon type series for the level 5 and 7 standard modules of the affine lie algebra A(2)2",

abstract = "We give Andrews-Gordon type series for the principal characters of the level 5 and 7 standard modules of the affine Lie algebra A(2)2 . We also give conjectural series for some level 2 modules of A(2)13 ",

keywords = "Affine Lie algebras, And phrases. Integer partitions, Andrews-Gordon identities, Hypergeometric series, Q-series, Rogers-Ramanujan identities, Vertex operators",

author = "Motoki Takigiku and Shunsuke Tsuchioka",

note = "Funding Information: Received by the editors June 5, 2020, and, in revised form, July 31, 2020, and September 23, 2020. 2020 Mathematics Subject Classification. Primary 11P84; Secondary 05E10. Key words and phrases. Integer partitions, Rogers-Ramanujan identities, affine Lie algebras, vertex operators, Andrews-Gordon identities, q-series, hypergeometric series. This work was supported by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University and the TSUBAME3.0 supercomputer at Tokyo Institute of Technology. The first author was supported in part by Start-up research support from Okayama University. The second author was supported in part by JSPS Kakenhi Grants 17K14154, 20K03506 and by Leading Initiative for Excellent Young Researchers, MEXT, Japan. Publisher Copyright: 2021 American Mathematical Society",

year = "2021",

month = jul,

doi = "10.1090/proc/15394",

language = "English",

volume = "149",

pages = "2763--2776",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "7",

}