Invariants of Superalgebras as Complex Integrals
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915646363664384 |
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| author | Berele, Allan |
| author_facet | Berele, Allan |
| contents | In [A. Berele, Computing super matrix invariants, {\it Advances in Applied Math. \bf48} (2012), 273--289.] we defined integrals that approximated the Poincaré series of the invariants and concomitants of the general linear Lie supergroup or superalgebra. Budzik suggested in [K. Budzik, Supergroup Invariants and the Brane/Negative Brane Expansion, (preprint) arXiv:2509.20451] a way to adapt this method to get the exact Poincaré series. The purpose of this paper is to prove that Budzik's ideas are correct. As a consequence we prove that the Poincaré series are rational functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19361 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invariants of Superalgebras as Complex Integrals Berele, Allan Rings and Algebras 16R30 In [A. Berele, Computing super matrix invariants, {\it Advances in Applied Math. \bf48} (2012), 273--289.] we defined integrals that approximated the Poincaré series of the invariants and concomitants of the general linear Lie supergroup or superalgebra. Budzik suggested in [K. Budzik, Supergroup Invariants and the Brane/Negative Brane Expansion, (preprint) arXiv:2509.20451] a way to adapt this method to get the exact Poincaré series. The purpose of this paper is to prove that Budzik's ideas are correct. As a consequence we prove that the Poincaré series are rational functions. |
| title | Invariants of Superalgebras as Complex Integrals |
| topic | Rings and Algebras 16R30 |
| url | https://arxiv.org/abs/2511.19361 |