The matrix theory of automorphisms for twisted affine Kac-Moody algebras A(l)((2)) (for l >= 2) and D-l((2)) (for l >= 3)

S P  Clarke; J F  Cornwell

The matrix theory of automorphisms for twisted affine Kac-Moody algebras A(l)((2)) (for l >= 2) and D-l((2)) (for l >= 3)

S P Clarke, J F Cornwell

School of Physics and Astronomy

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

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Abstract

The application to the two series of classical twisted affine Kac-Moody algebras A(l)((2)) (for l greater than or equal to 2) and D-l((2)) (for l greater than or equal to 3) of the matrix formulation of automorphisms developed earlier for untwisted affine Kac-Moody algebras is investigated. The conjugacy classes of involutive automorphisms and the corresponding real forms are deduced explicitly for the special case of A(2)((2)).

Original language	English
Pages (from-to)	9703-9714
Number of pages	12
Journal	Journal of Physics A: Mathematical and General
Volume	31
Publication status	Published - 4 Dec 1998

Keywords

INVOLUTIVE AUTOMORPHISMS

Cite this

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N2 - The application to the two series of classical twisted affine Kac-Moody algebras A(l)((2)) (for l greater than or equal to 2) and D-l((2)) (for l greater than or equal to 3) of the matrix formulation of automorphisms developed earlier for untwisted affine Kac-Moody algebras is investigated. The conjugacy classes of involutive automorphisms and the corresponding real forms are deduced explicitly for the special case of A(2)((2)).

AB - The application to the two series of classical twisted affine Kac-Moody algebras A(l)((2)) (for l greater than or equal to 2) and D-l((2)) (for l greater than or equal to 3) of the matrix formulation of automorphisms developed earlier for untwisted affine Kac-Moody algebras is investigated. The conjugacy classes of involutive automorphisms and the corresponding real forms are deduced explicitly for the special case of A(2)((2)).

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The matrix theory of automorphisms for twisted affine Kac-Moody algebras A(l)((2)) (for l >= 2) and D-l((2)) (for l >= 3)

Abstract

Keywords

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