An analog of the classical invariant theory for Lie superalgebras, II

Michigan Mathematical Journal

Volumn 49, Issue 1, 2001, Pages 147-168

  Sergeev, Alexander ^a,b  

^a SARATOV STATE TECHNICAL UNIVERSITY   (Russian Federation)

^b STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037484844     PISSN: 00262285     EISSN: None     Source Type: Journal    
DOI: 10.1307/mmj/1008719039     Document Type: Article

References (9)

1. R. Howe, Remarks on classical invariant theory, Trans. Amer. Math. Soc. 313 (1989), 539-570. Erratum: 318 (1990), 823.
2. T. Józefiak, A construction of irreducible GL(m) representation. Michigan Math. J. 48 (2000), 349-358.
3. _, Relating spin representations of symmetric and hyperoctahedral groups, J. Pure Appl. Algebra 152 (2000), 187-193.
4. I. Macdonald, Symmetric functions and Hall polynomials, Clarendon Press, New York, 1995.
5. _, Tensor algebra of the identity representation as a module over Lie superalgebras Gl(n, m) and Q(n). Mat. Sb. (N.S.) 123 (1984), 422-430.
6. _, An analog of the classical invariant theory for Lie superlagebras, Funct. Anal. Appl. 26 (1992), 88-90. Expanded version: math.RT/9810113.
7. _, Vector and covector invariants of Lie superalgebras, Funct. Anal. Appl. 30 (1996), 218-219.
8. H. Weyl, Classical groups. Their invariants and representations, Princeton Univ. Press, Princeton, NJ, 1997.
9. M. Yamaguchi, A duality of the twisted group algebra of the symmetric group and a Lie superalgebra, J. Algebra 222 (1999), 301-327.