scientific article

zbMath0603.20014MaRDI QIDQ3739338

Igor B. Frenkel, James Lepowsky, Arne Meurman

Publication date: 1985

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

latticecorrection factorHeisenberg algebraroot systemLeech latticeCartan subalgebraaffine Lie algebramonstrous moonshinereductive Lie algebragraded algebravector representationsporadic simple grouproot latticemodular invariantexceptional simple Lie algebra196.884-dimensional algebraFischer- Griess groupsimple Lie algebra of type \(E_ 8\)symmetric integral bilinear form

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple groups: sporadic groups (20D08) Exceptional (super)algebras (17B25) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70) Finite simple groups and their classification (20D05)

Related Items

Representation of the affine superalgebras \(A^{(4)}(0,2\ell)\), \(A^{(2)}(0,2\ell -1)\) and their subalgebras \(A_{2\ell}^{(2)}\), \(A^{(2)}_{2\ell -1}\) by vertex operators, Basic representation of the affine superalgebra \(A^{(2)}(0,1)\)