Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Primeness of the enveloping algebra
of a Cartan type Lie superalgebra


Author: Mark Curtis Wilson
Journal: Proc. Amer. Math. Soc. 124 (1996), 383-387
MSC (1991): Primary 17A70; Secondary 17B35
MathSciNet review: 1301535
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We show that a primeness criterion for enveloping algebras of Lie superalgebras discovered by Bell is applicable to the Cartan type Lie superalgebras $W(n)$, $n$ even. Other algebras are considered but there are no definitive answers in these cases.


References [Enhancements On Off] (What's this?)

  • B Allen D. Bell, A criterion for primeness of enveloping algebras of Lie superalgebras, J. Pure Appl. Algebra 69 (1990), no. 2, 111–120. MR 1086554, 10.1016/0022-4049(90)90036-H
  • KK Ellen Kirkman and James Kuzmanovich, Minimal prime ideals in enveloping algebras of Lie superalgebras, Proc. Amer. Math. Soc. (to appear).
  • S Manfred Scheunert, The theory of Lie superalgebras, Lecture Notes in Mathematics, vol. 716, Springer, Berlin, 1979. An introduction. MR 537441
  • Z Efim Zelmanov, personal communication.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 17A70, 17B35

Retrieve articles in all journals with MSC (1991): 17A70, 17B35


Additional Information

Mark Curtis Wilson
Affiliation: Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, Wisconsin 53706-1388
Address at time of publication: Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand
Email: wilson@math.auckland.ac.nz

DOI: https://doi.org/10.1090/S0002-9939-96-03111-5
Keywords: $W(n)$, Cartan type Lie superalgebra, prime enveloping algebra
Received by editor(s): July 28, 1994
Received by editor(s) in revised form: August 31, 1994
Additional Notes: Research supported by the NSF through grant DMS-9224662
The material in this paper will be included in the author’s Ph.D. thesis
Communicated by: Ken Goodearl
Article copyright: © Copyright 1996 American Mathematical Society