On an Explicit Isomorphism of Standard Level One Modules for Affine Orthogonal Lie Algebras |
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2-cocycle 4n and vk a₁ affine Lie algebra ai+1 automorphisms bilinear form CALIFORNIA/SANTA CRUZ CANTA Cartan subalgebra central extension characters of L/K commutator Consider the following construct cosets CRUZ The University define the following dim h distinct irreducible modules eigenvalues given eigenvector eigenvector for s(a Explicit Isomorphism following bracket relations given by equations graded dimension h-module h₁ Heisenberg algebras î(ek î(em Inn(g Kac-Moody Lie algebra Lemma level one modules Library The University maximal abelian subgroup modules are isomorphic modulo 2 h4n-1 odd terms orthogonal roots pairs of modules Proof quadratic form remains to show SANTA CRUZ SANTA CRUZ UNIVERSITY sequence of eigenvalues shorter vector subalgebra subgroup of L/K Theorem University Library UNIVERSITY UNIVERSITY OF CALIFORNIA UNIVERSITY OF CALIFORNIA/SANTA vector space write X(ea Z-graded Z/sZ Σα;α Ле