Graded subalgebras of affine Kac-Moody algebras

Y. Barnea; A. Shalev; E. I. Zelmanov

doi:10.1007/BF02897069

Graded subalgebras of affine Kac-Moody algebras

Y. Barnea^*
, A. Shalev
, E. I. Zelmanov

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We determine the maximal graded subalgebras of affine Kac-Moody algebras. We also show that the maximal graded subalgebras of loop algebras are essentially loop algebras.

Original language	English
Pages (from-to)	321-334
Number of pages	14
Journal	Israel Journal of Mathematics
Volume	104
DOIs	https://doi.org/10.1007/BF02897069
State	Published - 1998

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title = "Graded subalgebras of affine Kac-Moody algebras",

abstract = "We determine the maximal graded subalgebras of affine Kac-Moody algebras. We also show that the maximal graded subalgebras of loop algebras are essentially loop algebras.",

author = "Y. Barnea and A. Shalev and Zelmanov, \{E. I.\}",

year = "1998",

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AU - Shalev, A.

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N2 - We determine the maximal graded subalgebras of affine Kac-Moody algebras. We also show that the maximal graded subalgebras of loop algebras are essentially loop algebras.

AB - We determine the maximal graded subalgebras of affine Kac-Moody algebras. We also show that the maximal graded subalgebras of loop algebras are essentially loop algebras.

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EP - 334

JO - Israel Journal of Mathematics

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Graded subalgebras of affine Kac-Moody algebras

Abstract

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