Centroids of Quadratic Jordan Superalgebras

REFERENCES

• Kac , V. G. ( 1977 ). Classification of simple Z-graded Lie superalgebras and simple Jordan superalgebras . Comm. Algebra 5 ( 13 ): 1375 – 1400 .
   Web of Science ®Google Scholar
• King , D. ( 2001 ). Quadratic Jordan superalgebras . Comm. Algebra 29 ( 1 ): 375 – 401 .
   Web of Science ®Google Scholar
• McCrimmon , K. ( 1992 ). Jordan supersystems . In: Hadronic Mechanics and Nonpotential Interactions, Part 1 ( Cedar Falls, IA, 1990 ): Commack , NY : Nova Science Publishers, Inc. , pp. 17 – 36 .
   Google Scholar
• McCrimmon , K. ( 1999 ). Jordan centroids . Comm. Algebra 27 ( 2 ): 933 – 954 .
   Web of Science ®Google Scholar
• McCrimmon , K. ( 2007 ). The splittest Kac superalgebra K 10 . J. Algebra 313 : 554 – 589 .
   Google Scholar
• Shestakov , I. P. ( 1999 ). Alternative and Jordan superalgebras . Siberian Advances in Mathematics 9 ( 2 ): 83 – 99 .
   Google Scholar
• Racine , M. L. , Zelmanov , E. I. ( 2003 ). Simple Jordan superalgebras with semisimple even part . J. Algebra 270 ( 2 ): 374 – 444 .
   Web of Science ®Google Scholar
• Communicated by I. P. Shestakov.
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