Title of article
Elementary divisors of the Shapovalov form on the basic representation of Kac–Moody algebras
Author/Authors
David Hill Radcliffe، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
39
From page
5208
To page
5246
Abstract
We calculate the invariant factors of the standard lattice inside the basic representation of untwisted Kac–Moody algebras of ADE-type. This, in turn, gives the invariant factors of Cartan matrices for symmetric groups in prime characteristic as well as for the Iwahori–Hecke algebra at roots of unity.
Keywords
Symmetric groups and Hecke algebras , Shapovalov form , Kac–Moody algebras
Journal title
Journal of Algebra
Serial Year
2008
Journal title
Journal of Algebra
Record number
698657
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