In 1998 Victor Kac classified infinite-dimensional -graded Lie superalgebras of finite depth. We construct new examples of infinite-dimensional Lie superalgebras with a -gradation of infinite depth and finite growth and classify -graded Lie superalgebras of infinite depth and finite growth under suitable hypotheses.
@article{ASNSP_2002_5_1_3_545_0, author = {Cantarini, Nicoletta}, title = {$\mathbb {Z}$-graded {Lie} superalgebras of infinite depth and finite growth}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {545--568}, publisher = {Scuola normale superiore}, volume = {Ser. 5, 1}, number = {3}, year = {2002}, mrnumber = {1990672}, zbl = {1097.17014}, language = {en}, url = {http://www.numdam.org/item/ASNSP_2002_5_1_3_545_0/} }
TY - JOUR AU - Cantarini, Nicoletta TI - $\mathbb {Z}$-graded Lie superalgebras of infinite depth and finite growth JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2002 SP - 545 EP - 568 VL - 1 IS - 3 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_2002_5_1_3_545_0/ LA - en ID - ASNSP_2002_5_1_3_545_0 ER -
%0 Journal Article %A Cantarini, Nicoletta %T $\mathbb {Z}$-graded Lie superalgebras of infinite depth and finite growth %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2002 %P 545-568 %V 1 %N 3 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_2002_5_1_3_545_0/ %G en %F ASNSP_2002_5_1_3_545_0
Cantarini, Nicoletta. $\mathbb {Z}$-graded Lie superalgebras of infinite depth and finite growth. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 1 (2002) no. 3, pp. 545-568. http://www.numdam.org/item/ASNSP_2002_5_1_3_545_0/
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