Graded Lie Superalgebras, Supertrace Formula, and Orbit Lie Superalgebras
From MaRDI portal
Publication:2766379
DOI10.1112/S0024611500012661zbMath1040.17028arXivmath/9809025OpenAlexW1973618705MaRDI QIDQ2766379
Publication date: 28 January 2002
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9809025
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Identities, free Lie (super)algebras (17B01) Relationship to Lie algebras and finite simple groups (11F22) Graded Lie (super)algebras (17B70)
Related Items (25)
CERTAIN MODULES WITH TWINING MAPS AND DECOMPOSITION RULES OF LITTELMANN TYPE ⋮ Standard paths and standard monomials fixed by a diagram automorphism ⋮ Geometric construction of crystal bases for quantum generalized Kac-Moody algebras ⋮ The Feynman identity for planar graphs ⋮ Cohomological finite generation for restricted Lie superalgebras and finite supergroup schemes ⋮ Gradings, braidings, representations, paraparticles: some open problems ⋮ Twining characters and Kostant's homology formula. ⋮ A BGG-type resolution for tensor modules over general linear superalgebra ⋮ CATEGORIFICATION OF QUANTUM GENERALIZED KAC–MOODY ALGEBRAS AND CRYSTAL BASES ⋮ FREUDENTHAL-TYPE MULTIPLICITY FORMULAS FOR GENERALIZED KAC-MOODY SUPERALGEBRAS ⋮ \(\mathfrak u\)-cohomology formula for unitarizable modules over general linear superalgebras ⋮ \(R\)-analogue of the Burnside ring of profinite groups and free Lie algebras ⋮ Unnamed Item ⋮ Kostant homology formulas for oscillator modules of Lie superalgebras ⋮ Graded Lie superalgebras and super-replicable functions ⋮ Necklace rings and logarithmic functions ⋮ Lakshmibai-Seshadri paths fixed by a diagram automorphism. ⋮ More on super-replication formulae. II ⋮ Root Supermultiplicities of Some Borcherds Superalgebras ⋮ Graded Lie superalgebras and the superdimension formula ⋮ Bethe ansatz equations for orthosymplectic Lie superalgebras and self-dual superspaces ⋮ Homology and cohomology of the super Schrödinger algebra S(1|1) ⋮ Crystal bases, path models, and a twining character formula for Demazure modules ⋮ Free Lie algebras and formal power series ⋮ Automorphisms of Borcherds superalgebras and fixed point subalgebras
This page was built for publication: Graded Lie Superalgebras, Supertrace Formula, and Orbit Lie Superalgebras