Combinatorial Bases of Feigin–Stoyanovsky's Type Subspaces of Level 1 Standard Modules for

Autor:	Goran Trupčević
Rok vydání:	2010
Předmět:	Combinatorics Discrete mathematics Quantum affine algebra Algebra and Number Theory Affine representation Mathematics::Quantum Algebra Current algebra Universal enveloping algebra Affine Lie algebra Generalized Kac–Moody algebra Graded Lie algebra Mathematics Lie conformal algebra
Zdroj:	Communications in Algebra. 38:3913-3940
ISSN:	1532-4125 0092-7872
DOI:	10.1080/00927870903366827
Popis:	Let be an affine Lie algebra of the type . Suppose we are given a ℤ-gradation of the corresponding simple finite-dimensional Lie algebra 𝔤 = 𝔤−1 ⊕ 𝔤0 ⊕ 𝔤1; then we also have the induced ℤ-gradation of the affine Lie algebra Let L(Λ) be a standard module of level 1. Feigin–Stoyanovsky's type subspace W(Λ) is the -submodule of L(Λ) generated by the highest-weight vector v Λ, We find a combinatorial basis of W(Λ) given in terms of difference and initial conditions.
Databáze:	OpenAIRE
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