On Lie and Jordan structures associated with $(\epsilon,\delta)$-Freudenthal Kantor triple systems

Noriaki Kamiya; Daniel Mondoc; Susumu Okubo

On Lie and Jordan structures associated with $(\epsilon,\delta)$-Freudenthal Kantor triple systems

Noriaki Kamiya, Daniel Mondoc, Susumu Okubo

Mathematics (Faculty of Sciences)

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

Abstract

In this paper we discuss the construction of $\delta$-Lie triple systems and associated Jordan structure from $(\epsilon,\delta)$-Freudenthal Kantor triple systems
and give examples of such triple systems, from which we can construct some Lie superalgebras.

Original language	English
Pages (from-to)	109-123
Journal	Mitteilungen der Mathematischen Gesellschaft in Hamburg
Volume	29
Publication status	Published - 2010

Subject classification (UKÄ)

Mathematics

Free keywords

triple systems
Lie superalgebras

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Cite this

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title = "On Lie and Jordan structures associated with $(\epsilon,\delta)$-Freudenthal Kantor triple systems",

abstract = "In this paper we discuss the construction of $\delta$-Lie triple systems and associated Jordan structure from $(\epsilon,\delta)$-Freudenthal Kantor triple systems and give examples of such triple systems, from which we can construct some Lie superalgebras.",

keywords = "triple systems, Lie superalgebras",

author = "Noriaki Kamiya and Daniel Mondoc and Susumu Okubo",

year = "2010",

language = "English",

volume = "29",

pages = "109--123",

journal = "Mitteilungen der Mathematischen Gesellschaft in Hamburg",

publisher = "Halmstad University",

}

TY - JOUR

T1 - On Lie and Jordan structures associated with $(\epsilon,\delta)$-Freudenthal Kantor triple systems

AU - Kamiya, Noriaki

AU - Mondoc, Daniel

AU - Okubo, Susumu

PY - 2010

Y1 - 2010

N2 - In this paper we discuss the construction of $\delta$-Lie triple systems and associated Jordan structure from $(\epsilon,\delta)$-Freudenthal Kantor triple systems and give examples of such triple systems, from which we can construct some Lie superalgebras.

AB - In this paper we discuss the construction of $\delta$-Lie triple systems and associated Jordan structure from $(\epsilon,\delta)$-Freudenthal Kantor triple systems and give examples of such triple systems, from which we can construct some Lie superalgebras.

KW - triple systems

KW - Lie superalgebras

M3 - Article

VL - 29

SP - 109

EP - 123

JO - Mitteilungen der Mathematischen Gesellschaft in Hamburg

JF - Mitteilungen der Mathematischen Gesellschaft in Hamburg

ER -

On Lie and Jordan structures associated with $(\epsilon,\delta)$-Freudenthal Kantor triple systems

Abstract

Subject classification (UKÄ)

Free keywords

Access to Document

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Cite this