Dimension formula for graded Lie algebras and its applications
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Publication:4257583
DOI10.1090/S0002-9947-99-02239-4zbMath0926.17002MaRDI QIDQ4257583
Publication date: 31 August 1999
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Kac-Moody algebrasgraded algebrasfree Lie algebrasdimension formulageneralized Kac-Moody algebrashyperbolic algebrasEuler-Poincare principle
Combinatorial identities, bijective combinatorics (05A19) 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)
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Structure and Root Multiplicities for Two Classes of Extended Hyperbolic Kac–Moody Algebras and for all Cases ⋮ Extended-Hyperbolic Kac–Moody Algebras Structure and Root Multiplicities ⋮ The Feynman identity for planar graphs ⋮ A FAMILY OF GENERALIZED KAC–MOODY ALGEBRAS AND DEFORMATION OF MODULAR FORMS ⋮ Complete Classifications of Generalized Kac–Moody Algebras Possessing Special Imaginary Roots and Strictly Imaginary Property ⋮ Witt's formula for restricted Lie algebras. ⋮ FREUDENTHAL-TYPE MULTIPLICITY FORMULAS FOR GENERALIZED KAC-MOODY SUPERALGEBRAS ⋮ Peterson-type dimension formulas for graded Lie superalgebras ⋮ The formal series Witt transform ⋮ Cohomology of Oriented Tree Diagram Lie Algebras ⋮ Root Supermultiplicities of Some Borcherds Superalgebras ⋮ Graded Lie superalgebras and the superdimension formula
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