Classification of Finite-Growth General Kac–Moody Superalgebras

DOI10.1080/00927870601115781zbMath1153.17009arXiv0810.2637OpenAlexW2110133788MaRDI QIDQ3435928

Crystal Hoyt, Vera V. Serganova

Publication date: 8 May 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2637

zbMATH Keywords

classificationgrowthsuperalgebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (12)

Affine Lie superalgebras ⋮ Classification of bases of twisted affine root supersystems ⋮ Irreducible characters of Kac-Moody Lie superalgebras ⋮ Quiver Yangians and -algebras for generalized conifolds ⋮ Classification of maximal transitive prolongations of super-Poincaré algebras ⋮ Regular Kac-Moody superalgebras and integrable highest weight modules ⋮ The Weyl groupoids of \(\mathfrak{sl}(m | n)\) and \(\mathfrak{osp}(r | 2 n)\) ⋮ Weyl denominator identity for affine Lie superalgebras with non-zero dual Coxeter number ⋮ Non-standard Verma type modules for \(\mathfrak{q}(n)^{(2)}\) ⋮ Inverses of Cartan matrices of Lie algebras and Lie superalgebras ⋮ Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras ⋮ Classification of Finite-Growth General Kac–Moody Superalgebras

Cites Work

• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Classification of Finite-Growth General Kac–Moody Superalgebras
• A classification of contragredient lie superalgebras of finite growth
• Lie superalgebras
• Integrable highest weight modules over affine superalgebras and Appell's function

This page was built for publication: Classification of Finite-Growth General Kac–Moody Superalgebras