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Primeness of the enveloping algebra of a Cartan type Lie superalgebra
Author(s):
Mark
Curtis
Wilson
Journal:
Proc. Amer. Math. Soc.
124
(1996),
383-387.
MSC (1991):
Primary 17A70;
Secondary 17B35
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Abstract:
We show that a primeness criterion for enveloping algebras of Lie superalgebras discovered by Bell is applicable to the Cartan type Lie superalgebras  ,  even. Other algebras are considered but there are no definitive answers in these cases.
References:
- B
- Allen D. Bell, A criterion for primeness of enveloping algebras of Lie superalgebras, J. Pure Appl. Algebra 69 (1990), 111--120. MR 92b:17014
- KK
- Ellen Kirkman and James Kuzmanovich, Minimal prime ideals in enveloping algebras of Lie superalgebras, Proc. Amer. Math. Soc. (to appear).
- S
- M. Scheunert, The theory of Lie superalgebras, Lecture Notes in Math., vol. 716, Springer, Berlin, 1979. MR 80i:17005
- Z
- Efim Zelmanov, personal communication.
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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:
10.1090/S0002-9939-96-03111-5
PII:
S 0002-9939(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
Copyright of article:
Copyright
1996,
American Mathematical Society
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