2010/10/20 by Allan Berele, Berele, Allan · 2 citations
Mathematics · Physics and Astronomy · #16R30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1010.4316
openalex publication_date 2010/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In [Trace identities and \bf Z/2\bf Z-graded invariants, \it Trans. Amer. Math. Soc. \bf309 (1988), 581--589] we generalized the first and second fundamental theorems of invariant theory from the general linear group to the general linear Lie superalgebra. In the current paper we generalize the computations of the the numerical invariants (multiplicities and Poincaré series) to the superalgebra case. The results involve either inner products of symmetric functions in two sets of variables, or complex integrals. we generalized the first and second fundamental theorems of invariant theory from the general linear group to the general linear Lie superalgebra. In the current paper we generalize the computations of the the numerical invariants (multiplicities and Poincaré series) to the superalgebra case. The results involve either inner products of symmetric functions in two sets of variables, or complex integrals.