EXTENSION OF A RESULT BY SCHUR FOR LIE ALGEBRAS

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HOSSEINI SEYEDEH ZAHRA; Saeedi Farshid

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2016 | Issue:25

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Title

EXTENSION OF A RESULT BY SCHUR FOR LIE ALGEBRAS

Author(s)

HOSSEINI SEYEDEH ZAHRA | Saeedi Farshid

Keywords

LIE ALGEBRA

ID-DERIVATION

HEISENBERG ALGEBRA

Abstract

LET L BE A LIE ALGEBRA AND ID(L) BE THE SET OF ALL DERIVATIONS OF L WHOSE IMAGES LIE IN THE DRIVED ALGEBRA OFL. IN THIS PAPER, THE CENTRAL IDEAL S(L) = {X 2 L |A(X) =0, NA Î ID(L)} OF A LIE ALGEBRA L IS STUDIED. WE PROVE SOME RESULTS ANALOGOUS TO A RESULT BY SCHUR AND A WEAK FORM OF ITS CONVERSE IN THE CONTEXT OF ID-DERIVATIONS. ALSO, WE GIVE AN UPPER BOUND FOR DIMENSION OF L / S(L) IN SOME SPECIAL CONDITIONS. &NBSP;

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APA: Copy

HOSSEINI, SEYEDEH ZAHRA, & Saeedi, Farshid. (2016). EXTENSION OF A RESULT BY SCHUR FOR LIE ALGEBRAS. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938670/en

Vancouver: Copy

HOSSEINI SEYEDEH ZAHRA, Saeedi Farshid. EXTENSION OF A RESULT BY SCHUR FOR LIE ALGEBRAS. 2016. Available from: https://sid.ir/paper/938670/en

IEEE: Copy

SEYEDEH ZAHRA HOSSEINI, and Farshid Saeedi, “EXTENSION OF A RESULT BY SCHUR FOR LIE ALGEBRAS,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938670/en

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