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@article{AllAndGor,
	Author = {K. Alladi and G. E. Andrews and B. Gordon},
	Date-Modified = {2019-05-22 15:56:24 +1000},
	Journal = {J. Algebra},
	Keywords = {10.1006/jabr.1995.1144},
	Number = {2},
	Pages = {636-658},
	Title = {Refinements and generalizations of Capparelli's conjecture on partitions},
	Volume = {174},
	Year = {1995}}

@incollection{Andrewscap,
	Author = {G. E. Andrews},
	Booktitle = {The Rademacher Legacy to Mathematics. The centenary conference in honor of Hans Rademacher, July 21-25, 1992, Pennsylvania State University, University Park, PA, USA},
	Date-Modified = {2019-05-22 15:58:35 +1000},
	Number = {166},
	Pages = {141-154},
	Publisher = {Amer. Math. Soc., Providence, RI},
	Series = {Contemporary Mathematics},
	Title = {{S}chur's theorem, {C}apparelli's conjecture and $q$-trinomial coefficients},
	Year = {1992}}

@misc{Be-Un2,
	Author = {A. Berkovich and A. K. Uncu},
	Date-Modified = {2019-05-22 15:59:11 +1000},
	Eprint = {1807.10974},
	Eprinttype = {arxiv},
	Title = {Polynomial Identities Implying {C}apparelli's Partition Theorems},
	Year = {2018}}

@article{Capparelli,
	Author = {S. Capparelli},
	Date-Modified = {2019-05-22 16:00:03 +1000},
	Doi = {10.1006/jabr.1993.1017},
	Journal = {J. Algebra},
	Number = {2},
	Pages = {335-355},
	Title = {On some representations of twisted affine {L}ie algebras and combinatorial identities},
	Volume = {154},
	Year = {1993}}

@article{Capparelli2,
	Author = {S. Capparelli},
	Date-Modified = {2019-05-22 16:01:54 +1000},
	Doi = {10.1090/s0002-9947-96-01535-8},
	Journal = {Trans. Amer. Math. Soc.},
	Number = {2},
	Pages = {481-501},
	Title = {A construction of the level $3$ modules for the affine {L}ie algebra ${A}_2^{(2)}$ and a new combinatorial identity of the {R}ogers-{R}amanujan type},
	Volume = {348},
	Year = {1996}}

@misc{DousseCapPrimc,
	Author = {J. Dousse},
	Date-Modified = {2019-05-22 16:03:13 +1000},
	Eprint = {1811.02251},
	Eprinttype = {arxiv},
	Title = {On partition identities of Capparelli and Primc},
	Year = {2018}}

@article{Doussesil2,
	Author = {J. Dousse},
	Date-Modified = {2019-05-22 16:02:42 +1000},
	Doi = {10.1090/proc/13376},
	Journal = {Proc. Amer. Math. Soc.},
	Number = {5},
	Pages = {1997--2009},
	Title = {Siladi\'c's theorem: weighted words, refinement and companion},
	Volume = {145},
	Year = {2017}}

@article{DoussePrimc,
	Author = {J. Dousse and J. Lovejoy},
	Date-Modified = {2019-05-22 16:03:44 +1000},
	Doi = {10.1090/proc/13694},
	Journal = {Proc. Amer. Math. Soc.},
	Number = {1},
	Pages = {55-67},
	Title = {On a {R}ogers-{R}amanujan type identity from crystal base theory},
	Volume = {146},
	Year = {2018}}

@article{GuoJouhetZeng,
	Author = {V. Guo and F. Jouhet and J. Zeng},
	Date-Modified = {2019-05-22 16:04:30 +1000},
	Doi = {10.1007/s11139-009-9182-0},
	Journal = {Ramanujan J.},
	Number = {3},
	Pages = {247-266},
	Title = {New finite {R}ogers-{R}amanujan identities},
	Volume = {19},
	Year = {2009}}

@incollection{KMN2,
	Author = {S.-J. Kang and M. Kashiwara and K. C. Misra and T. Miwa and T. Nakashima and A. Nakayashiki},
	Booktitle = {Infinite Analysis, {P}art {A}, {B} ({K}yoto, 1991)},
	Date-Modified = {2019-05-22 16:04:52 +1000},
	Number = {16},
	Pages = {449--484},
	Publisher = {World Sci. Publ., River Edge, NJ},
	Series = {Adv. Ser. Math. Phys.},
	Title = {Affine crystals and vertex models},
	Year = {1992}}

@article{Le-Mi1,
	Author = {J. Lepowsky and S. Milne},
	Date-Modified = {2019-05-22 16:05:40 +1000},
	Doi = {10.1016/0001-8708(78)90004-x},
	Journal = {Adv. in Math.},
	Pages = {15--59},
	Title = {Lie algebraic approaches to classical partition identities},
	Volume = {29},
	Year = {1978}}

@article{Lepowsky,
	Author = {J. Lepowsky and R. L. Wilson},
	Date-Modified = {2019-05-22 16:07:23 +1000},
	Doi = {10.1007/bf01388447},
	Journal = {Invent. Math.},
	Pages = {199--290},
	Title = {The structure of standard modules, {I}: Universal algebras and the {R}ogers-{R}amanujan identities},
	Volume = {77},
	Year = {1984}}

@article{Lepowsky2,
	Author = {J. Lepowsky and R. L. Wilson},
	Date-Modified = {2019-05-22 16:07:58 +1000},
	Doi = {10.1007/bf01388515},
	Journal = {Invent. Math.},
	Pages = {417--442},
	Title = {The structure of standard modules, {II}: The case ${A}_1^{(1)}$, principal gradation},
	Volume = {79},
	Year = {1985}}

@article{Meurman,
	Author = {A. Meurman and M. Primc},
	Date-Modified = {2019-05-22 16:09:23 +1000},
	Doi = {10.1016/0001-8708(87)90008-9},
	Journal = {Adv. Math.},
	Pages = {177--240},
	Title = {Annihilating ideals of standard modules of {$sl(2,{\mathbb C})^\sim$} and combinatorial identities},
	Volume = {64},
	Year = {1987}}

@article{Meurman2,
	Author = {A. Meurman and M. Primc},
	Date-Modified = {2019-05-22 16:12:13 +1000},
	Doi = {10.1090/memo/0652},
	Journal = {Mem. Amer. Math. Soc.},
	Number = {652},
	Pages = {viii + 89 pp.},
	Title = {Annihilating fields of standard modules of $sl(2,\mathbb {C})^ \sim$ and combinatorial identities},
	Volume = {137},
	Year = {1999}}

@article{Primc2,
	Author = {M. Primc},
	Date-Modified = {2019-05-22 16:13:47 +1000},
	Doi = {10.1006/jabr.1999.7899},
	Journal = {J. Algebra},
	Number = {1},
	Pages = {1--50},
	Title = {Basic representations for classical affine {L}ie algebras},
	Volume = {228},
	Year = {2000}}

@article{Primc,
	Author = {M. Primc},
	Date-Modified = {2019-05-22 16:13:19 +1000},
	Journal = {Glas. Math. Ser. III},
	Number = {1},
	Pages = {73--86},
	Title = {Some crystal {R}ogers-{R}amanujan type identities},
	Volume = {34},
	Year = {1999}}

@article{Siladic,
	Author = {I. Siladi\'c},
	Date-Modified = {2019-05-22 16:15:54 +1000},
	Journal = {Glas. Math. Ser. III},
	Number = {1},
	Pages = {53-77},
	Title = {Twisted {$sl(3,\mathbb{C})^{\sim}$}-modules and combinatorial identities},
	Volume = {52},
	Year = {2017}}

@article{Xie,
	Author = {M. Tamba and C. Xie},
	Date-Modified = {2019-05-22 16:15:17 +1000},
	Doi = {10.1016/0022-4049(94)00127-8},
	Journal = {J. Pure Appl. Algebra},
	Number = {1},
	Pages = {53--92},
	Title = {Level three standard modules for ${A}_2^{(2)}$ and combinatorial identities},
	Volume = {105},
	Year = {1995}}