On a nilpotent Lie superalgebra which generalizes Qn.

José María Ancochea Bermúdez; Otto Rutwig Campoamor

Revista Matemática Complutense (2002)

  • Volume: 15, Issue: 1, page 131-146
  • ISSN: 1139-1138

Abstract

top
In Gilg (2000, 2001) the author introduces the notion of filiform Lie superalgebras, generalizing the filiform Lie algebras studied by Vergne in the sixties. In these appers, the superalgebras whose even part is isomorphic to the model filiform Lie algebra Ln are studied and classified in low dimensions. Here we consider a class of superalgebras whose even part is the filiform, naturally graded Lie algebra Qn, which only exists in even dimension as a consequence of the centralizer property. Certain central extensions of Qn which preserve both the nilindex and the cited property are also generalized to obtain nonfiliform Lie superalgebras.

How to cite

top

Ancochea Bermúdez, José María, and Campoamor, Otto Rutwig. "On a nilpotent Lie superalgebra which generalizes Qn.." Revista Matemática Complutense 15.1 (2002): 131-146. <http://eudml.org/doc/44417>.

@article{AncocheaBermúdez2002,
abstract = {In Gilg (2000, 2001) the author introduces the notion of filiform Lie superalgebras, generalizing the filiform Lie algebras studied by Vergne in the sixties. In these appers, the superalgebras whose even part is isomorphic to the model filiform Lie algebra Ln are studied and classified in low dimensions. Here we consider a class of superalgebras whose even part is the filiform, naturally graded Lie algebra Qn, which only exists in even dimension as a consequence of the centralizer property. Certain central extensions of Qn which preserve both the nilindex and the cited property are also generalized to obtain nonfiliform Lie superalgebras.},
author = {Ancochea Bermúdez, José María, Campoamor, Otto Rutwig},
journal = {Revista Matemática Complutense},
keywords = {Algebra de Lie; Algebra nilpotente; filiform Lie superalgebra},
language = {eng},
number = {1},
pages = {131-146},
title = {On a nilpotent Lie superalgebra which generalizes Qn.},
url = {http://eudml.org/doc/44417},
volume = {15},
year = {2002},
}

TY - JOUR
AU - Ancochea Bermúdez, José María
AU - Campoamor, Otto Rutwig
TI - On a nilpotent Lie superalgebra which generalizes Qn.
JO - Revista Matemática Complutense
PY - 2002
VL - 15
IS - 1
SP - 131
EP - 146
AB - In Gilg (2000, 2001) the author introduces the notion of filiform Lie superalgebras, generalizing the filiform Lie algebras studied by Vergne in the sixties. In these appers, the superalgebras whose even part is isomorphic to the model filiform Lie algebra Ln are studied and classified in low dimensions. Here we consider a class of superalgebras whose even part is the filiform, naturally graded Lie algebra Qn, which only exists in even dimension as a consequence of the centralizer property. Certain central extensions of Qn which preserve both the nilindex and the cited property are also generalized to obtain nonfiliform Lie superalgebras.
LA - eng
KW - Algebra de Lie; Algebra nilpotente; filiform Lie superalgebra
UR - http://eudml.org/doc/44417
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.