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Hook young diagrams, combinatorics and representations of Lie superalgebras
Author(s):
A.
Berele;
A.
Regev
Journal:
Bull. Amer. Math. Soc.
8
(1983),
337-339.
MSC (1980):
Primary 05A15, 05A17, 17A70, 17B10, 20C30;
Secondary 16A38, 81C40
MathSciNet review:
684903
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References |
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Additional information
References:
- 1.
- S. A. Amitsur and A. Regev, P.I.-algebras and their cocharacters (preprint).
- 2.
- V. G. Kac, Lie superalgebras, Adv. in Math. 26 (1977), 8-96. MR 486011
- 3.
- V. G. Kac, Characters of typical representations of classical Lie superalgebras, Comm. Algebra 5 (1977), 889-897. MR 444725
- 4.
- D. E. Knuth, The art of computer programming, vol. 3, Addison-Wesley, Reading, Mass., 1968. MR 378456
- 5.
- D. Krakowski and A. Regev, The polynomial identities of the Grassmann algebra, Trans. Amer. Math. Soc. 181 (1973), 429-438. MR 325658
- 6.
- I. G. Macdonald, Symmetric functions and Hall polynomials, Clarendon Press, Oxford, 1979. MR 553598
- 7.
- A. Regev, The Kronecker product of S, J. Algebra 66 (1980), 505-510. MR 593607
- 8.
- M. Scheunert, The theory of Lie superalgebras, Lecture Notes in Math., vol. 716, Springer-Verlag, Berlin and New York, 1979. MR 537441
- 9.
- I. Schur, Ueber eine Klasse von Matrizen, die sich einer gegebenen Matrix zuordnen lassen, Dissertation, Berlin, 1901.
- 10.
- H. Weyl, The classical groups, Princeton Math. Series No. 1, Princeton, N.J., 1939.
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05A15, 05A17, 17A70, 17B10, 20C30, 16A38, 81C40
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05A15, 05A17, 17A70, 17B10, 20C30, 16A38, 81C40
Additional Information:
DOI:
10.1090/S0273-0979-1983-15110-8
PII:
S 0273-0979(1983)15110-8
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