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M. Schlosser (2006)
Multilateral Inversion of Ar, Cr, and Dr Basic Hypergeometric SeriesAnnals of Combinatorics, 13
A. Stoyanovsky (1998)
Lie algebra deformations and character formulasFunctional Analysis and Its Applications, 32
B. Feigin, D. Fuchs (1983)
Verma modules over the virasoro algebraFunctional Analysis and Its Applications, 17
J. Lepowsky, Robert Wilson (1985)
The structure of standard modulesInventiones mathematicae, 79
S. Milne (1994)
The C l Rogers-Selberg identitySiam Journal on Mathematical Analysis, 25
J. Lepowsky, Robert Wilson (1982)
A lie theoretic interpretation and proof of the Rogers-Ramanujan identitiesAdvances in Mathematics, 45
J. Lepowsky, S. Milne (1978)
Lie algebraic approaches to classical partition identitiesAdvances in Mathematics, 29
G. Andrews (1974)
An analytic generalization of the rogers-ramanujan identities for odd moduli.Proceedings of the National Academy of Sciences of the United States of America, 71 10
Yen-chʿien Yeh (1948)
On prime power Abelian groupsBulletin of the American Mathematical Society, 54
D. Journal, T. Des, N. Ordeaux (1997)
On the number of subgroups of finite abelian groupsAbhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 67
B. Gordon (1961)
A COMBINATORIAL GENERALIZATION OF THE ROGERS-RAMANUJAN IDENTITIES.*American Journal of Mathematics, 83
L. Butler (1994)
Subgroup Lattices and Symmetric Functions
Wafa Ali (2012)
The Number of Subgroups of a Finite Abelian Group
V. Kac, D. Peterson (1984)
Infinite-dimensional Lie algebras, theta functions and modular formsAdvances in Mathematics, 53
A. Rocha-Caridi (1985)
Vacuum Vector Representations of the Virasoro Algebra
Séminaire Lotharingien de Combinatoire 54 (2007), Article B54n ADDING ±1 TO THE ARGUMENT OF A HALL–LITTLEWOOD POLYNOMIAL
Jiuzhao Hua (2000)
Counting Representations of Quivers over Finite FieldsJournal of Algebra, 226
A. Kirillov (1989)
Identities for the Rogers dilogarithm function connected with simple Lie algebrasJournal of Soviet Mathematics, 47
L. Rogers (1893)
Second Memoir on the Expansion of certain Infinite ProductsProceedings of The London Mathematical Society
S. Delsarte (1948)
Fonctions de Mobius Sur Les Groupes Abeliens FinisAnnals of Mathematics, 49
I. MacDonald (1971)
Affine root systems and Dedekind'sη-functionInventiones mathematicae, 15
G. Andrews (1978)
The Theory of Partitions: FrontmatterThe Mathematical Gazette, 62
S. Warnaar (2004)
Hall–Littlewood functions and the A2 Rogers–Ramanujan identitiesAdvances in Mathematics, 200
J. Lepowsky, Robert Wilson (1984)
The structure of standard modules, I: Universal algebras and the Rogers-Ramanujan identitiesInventiones mathematicae, 77
D. Bressoud (1979)
A Generalization of the Rogers-Ramanujan Identities for all ModuliJ. Comb. Theory, Ser. A, 27
V. Kac (1983)
Root systems, representations of quivers and invariant theory
A. Lascoux, B. Leclerc, J. Thibon (1995)
Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varietiesJournal of Mathematical Physics, 38
Jason Fulman (2000)
A Probabilistic Proof of the Rogers–Ramanujan IdentitiesBulletin of the London Mathematical Society, 33
J. Lepowsky, R. Wilson (1981)
A new family of algebras underlying the Rogers-Ramanujan identities and generalizations.Proceedings of the National Academy of Sciences of the United States of America, 78 12
A. Lascoux (2003)
Symmetric Functions and Combinatorial Operators on Polynomials, 99
B. Feigin, A. Stoyanovsky (1993)
Quasi-particles models for the representations of Lie algebras and geometry of flag manifoldarXiv: High Energy Physics - Theory
R. Amayo, I. Stewart (1974)
Infinite-dimensional Lie algebras
I. MacDonald (1979)
Symmetric functions and Hall polynomials
K. Misra (1984)
Structure of certain standard modules for An(1) and the Rogers-Ramanujan identities☆Journal of Algebra, 88
Tamás Hausel (2008)
Kac’s conjecture from Nakajima quiver varietiesInventiones mathematicae, 181
A. Kirillov (1994)
Dilogarithm identities
We prove a q‐series identity that generalizes Macdonald's A2n(2) η‐function identity and the Rogers–Ramanujan identities. We conjecture our result to generalize even further to also include the Andrews–Gordon identities.
Bulletin of the London Mathematical Society – Wiley
Published: Feb 1, 2012
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