Irreducible characters of Kac-Moody Lie superalgebras
نویسندگان
چکیده
منابع مشابه
Hyperbolic Kac–moody Superalgebras
We present a classification of the hyperbolic Kac–Moody (HKM) superalgebras. The HKM superalgebras of rank r ≥ 3 are finite in number (213) and limited in rank (6). The Dynkin–Kac diagrams and the corresponding simple root systems are determined. We also discuss a class of singular sub(super)algebras obtained by a folding procedure. MSC number: 17B65, 17B67 LAPTH-1068/04 DSF-TH-28/04 math-ph/04...
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for X,Y ∈ ḡ, m,n ∈ Z, where X(m) = X⊗t with X ∈ ḡ and m ∈ Z and (·|·) is the normalized invariant inner product of ḡ. We identify ḡ with ḡ⊗C ⊂ g. Fix the triangular decomposition ḡ = n̄− ⊕ h̄⊕ n̄+, and the Cartan subalgebra of g as h = h̄⊕CK ⊕CD. We have h = h̄ ⊕CΛ0 ⊕Cδ, where Λ0 and δ are elements dual to K and D, respectively. Let L(λ) be the irreducible highest weight representation of g of highe...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2014
ISSN: 0024-6115
DOI: 10.1112/plms/pdu045