Computing super matrix invariants
| Autor: | Allan Berele |
|---|---|
| Jazyk: | angličtina |
| Předmět: |
Applied Mathematics
Invariants Schur's lemma Lie superalgebra General linear Lie superalgebra Hook Schur functions Mathematics - Rings and Algebras Schur algebra Schur polynomial Schur's theorem Algebra Generic trace rings Schur decomposition Rings and Algebras (math.RA) FOS: Mathematics Schur complement Trace identities 16R30 Mathematics::Representation Theory Mathematics Schur product theorem |
| Zdroj: | Advances in Applied Mathematics. (2):273-289 |
| ISSN: | 0196-8858 |
| DOI: | 10.1016/j.aam.2011.08.002 |
| Popis: | 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 Poincar\'e 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 Poincar\'e series) to the superalgebra case. The results involve either inner products of symmetric functions in two sets of variables, or complex integrals. |
| Databáze: | OpenAIRE |
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