2014
DOI: 10.1016/j.jpaa.2013.06.013
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Combinatorial bases of principal subspaces for the affine Lie algebra of type

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Cited by 26 publications
(43 citation statements)
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“…These principal subspaces were also student in [AKS], [FFJMM], and in other works by these authors. Georgiev used the theory of vertex operator algebras and intertwining operators to construct combinatorial bases for principal subspaces of certain higher level standard modules for untwisted affine Lie algebras of type A, D, E in [G], and this work has since been extended to untwisted affine Lie algebras of type B, C by Butorac in [Bu1]- [Bu2] and to the quantum group case by Kožić in [Ko]. Principal subspaces of standard modules for more general lattice vertex operator algebras have been studied in [MPe], [P], and [Ka1]- [Ka2].…”
Section: Introductionmentioning
confidence: 99%
“…These principal subspaces were also student in [AKS], [FFJMM], and in other works by these authors. Georgiev used the theory of vertex operator algebras and intertwining operators to construct combinatorial bases for principal subspaces of certain higher level standard modules for untwisted affine Lie algebras of type A, D, E in [G], and this work has since been extended to untwisted affine Lie algebras of type B, C by Butorac in [Bu1]- [Bu2] and to the quantum group case by Kožić in [Ko]. Principal subspaces of standard modules for more general lattice vertex operator algebras have been studied in [MPe], [P], and [Ka1]- [Ka2].…”
Section: Introductionmentioning
confidence: 99%
“…[16]), from which were easily obtained the Rogers-Ramanujan type character formulas. In [4] and [5] we extended Georgiev's construction of quasiparticle bases for principal subspaces of standard module L(kΛ 0 ) and generalized Verma module N (kΛ 0 ) of highest weight kΛ 0 , k ∈ N for affine Lie algebras of type B…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, integrability relations played an important role in the construction of monomial bases for certain substructures of g-modules such as principal subspaces (cf. [FS], [G], [Bu1], [Ka]) and Feigin-Stoyanovsky's type subspaces (cf. [P1], [P2], [JP], [T]).…”
Section: Introductionmentioning
confidence: 99%