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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Primeness of the enveloping algebra of a Cartan type Lie superalgebra
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by Mark Curtis Wilson PDF
Proc. Amer. Math. Soc. 124 (1996), 383-387 Request permission

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
  • 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, DOI 10.1016/0022-4049(90)90036-H
  • Ellen Kirkman and James Kuzmanovich, Minimal prime ideals in enveloping algebras of Lie superalgebras, Proc. Amer. Math. Soc. (to appear).
  • Manfred Scheunert, The theory of Lie superalgebras, Lecture Notes in Mathematics, vol. 716, Springer, Berlin, 1979. An introduction. MR 537441, DOI 10.1007/BFb0070929
  • 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
  • MR Author ID: 356004
  • Email: wilson@math.auckland.ac.nz
  • 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 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 383-387
  • MSC (1991): Primary 17A70; Secondary 17B35
  • DOI: https://doi.org/10.1090/S0002-9939-96-03111-5
  • MathSciNet review: 1301535