Principal subspaces of basic modules for twisted affine Lie algebras, $q$-series multisums, and Nandi's identities (Q6119514)

scientific article; zbMATH DE number 7811535

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English	Principal subspaces of basic modules for twisted affine Lie algebras, $q$-series multisums, and Nandi's identities	scientific article; zbMATH DE number 7811535

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scholarly article

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title

Principal subspaces of basic modules for twisted affine Lie algebras, $q$-series multisums, and Nandi's identities (English)

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Christopher M. Sadowski

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published in

Algebraic Combinatorics

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publication date

1 March 2024

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full work available at URL

https://arxiv.org/abs/2208.14581

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zbMATH Keywords

principal subspaces

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vertex operator algebras

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affine Lie algebras

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Nandi's identities

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MaRDI publication profile

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cites work

An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli

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Multiple series Rogers-Ramanujan type identities

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Q4218535

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An A₂ Bailey lemma and Rogers-Ramanujan-type identities

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Coding the principal character formula for affine Kac-Moody lie algebras

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Change of base in Bailey pairs

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Analytic and combinatorial generalizations of the Rogers-Ramanujan identities

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Proofs and reductions of various conjectured partition identities of Kanade and Russell

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VERTEX-ALGEBRAIC STRUCTURE OF THE PRINCIPAL SUBSPACES OF CERTAIN $A_{1}^{(1)}$-MODULES, I: LEVEL ONE CASE

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Vertex-algebraic structure of the principal subspaces of certain $A_1^{(1)}$-modules. II: Higher-level case

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Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types $A,D,E$

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Vertex-algebraic structure of principal subspaces of standard $A^{(2)}_2$-modules, I

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Vertex algebraic structure of principal subspaces of basic $A_{2n}^{(2)}$-modules

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Presentations of principal subspaces of higher level standard $A_2^{(2)}$-modules

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THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS

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The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators

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On some representations of twisted affine Lie algebras and combinatorial identities

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Q5702549

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Linked partition ideals, directed graphs and $q$-multi-summations

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Cylindric partitions and some new $A_2$ Rogers–Ramanujan identities

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Qseries Maple tutorial: A $q$-product tutorial for a $q$-series Maple package

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A framework of Rogers-Ramanujan identities and their arithmetic properties

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<tt>IdentityFinder</tt> and Some New Identities of Rogers–Ramanujan Type

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Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type

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On $q$-series for principal characters of standard $A_2^{( 2 )}$-modules

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Completing the A2 Andrews–Schilling–Warnaar Identities

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Andrews-Gordon type series for Capparelli's and Göllnitz-Gordon identities

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Andrews-Gordon type series for Kanade-Russell conjectures

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Calculus of twisted vertex operators

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Introduction to vertex operator algebras and their representations

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On identities of the Rogers-Ramanujan type

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Vertex-algebraic structure of principal subspaces of basic $D_4^{(3)}$-modules

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Vertex-algebraic structure of principal subspaces of the basic modules for twisted affine Lie algebras of type $A_{2n-1}^{(2)}$, $D_n^{(2)}$, $E_6^{(2)}$

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Principal subspaces of twisted modules for certain lattice vertex operator algebras

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Proofs of some partition identities conjectured by Kanade and Russell

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Q4978234

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Hall-Littlewood Functions, Plane Partitions, and the Rogers-Ramanujan Identities

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Functional models of the representations of current algebras and semi-infinite Schubert cells

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Vertex algebraic construction of modules for twisted affine Lie algebras of type $A_{2l}^{(2)}$

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Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra $A^{(2)}_2$

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Graded Cartan determinants of the symmetric groups

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Reflecting (on) the modulo 9 Kanade-Russell (conjectural) identities

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The generalized Borwein conjecture. II: Refined $q$-trinomial coefficients

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The 𝐴₂ Andrews–Gordon identities and cylindric partitions

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Identifiers

arXiv ID

2208.14581

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6119514

Principal subspaces of basic modules for twisted affine Lie algebras, \(q\)-series multisums, and Nandi's identities (Q6119514)

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Mathematics(1 entry)