Vogan Diagrams of Untwisted Affine Kac–moody Superalgebras

Ransingh, Biswajit

doi:10.1142/s1793557113500629

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Kac-moody Algebras: Other Related Topics1

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2015

2021

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Cited by 2 publications

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“…In 2015, B. Ransingh dealt with Vogan diagrams of untwisted affine Kac-Moody superalgebras [212], S. Nayak and K.C. Pati studied the embedding of simply laced hyperbolic Kac-Moody superalgebras [196], D. Hill and W. Wang dealt with the categorification of quantum Kac-Moody superalgebras [122] and S.J.…”

Section: Kac-moody Algebras: Other Related Topicsmentioning

confidence: 99%

The trascendence of Kac-Moody algebras

Fernández-Ternero

Valdés

2021

Filomat

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With the main objective that it can be consulted by all researchers, mainly young people, interested in the study of the Kac-Moody algebras and their applications, this paper aims to present the past and present state-of-the-art developments and results on these algebras at various levels of analysis and fields of application in different disciplines. Indeed, lot of references in the literature on these algebras are analyzed and a study of the most relevant topics regarding them is shown.

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Section: Kac-moody Algebras: Other Related Topicsmentioning

confidence: 99%

The trascendence of Kac-Moody algebras

Fernández-Ternero

Valdés

2021

Filomat

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Double Vogan superdiagrams of Lie superalgebras and symmetric superspaces

Ransingh

2015

Asian-European J. Math.

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A Vogan superdiagram is a set of involution and painting on a Dynkin diagram. It selects a real form, or equivalently an involution, from a complex simple Lie superalgebra. We introduce the double Vogan superdiagram, which comprises of two sets of Vogan superdiagrams superimposed on an affine Dynkin diagram. They correspond to pairs of commuting involutions on complex simple Lie superalgebras, and therefore provide an independent classification of the simple locally symmetric or semisymmetric superpairs.

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Vogan Diagrams of Untwisted Affine Kac–moody Superalgebras

Abstract: This article classifies the Vogan diagram of the affine untwisted Kac Moody superalgebras. B θ (X, Y ) = B(θX, θY )

Cited by 2 publications

References 14 publications

The trascendence of Kac-Moody algebras

The trascendence of Kac-Moody algebras

Double Vogan superdiagrams of Lie superalgebras and symmetric superspaces

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