dorsal/arxiv
View SchemaGeneralized differential spaces with $d^N=0$ and the $q$-differential calculus
| Authors | Michel Dubois-Violette |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9609012 |
| URL | https://arxiv.org/abs/q-alg/9609012 |
| DOI | 10.1007/BF01690337 |
Abstract
We present some results concerning the generalized homologies associated with nilpotent endomorphisms $d$ such that $d^N=0$ for some integer $N\geq 2$. We then introduce the notion of graded $q$-differential algebra and describe some examples. In particular we construct the $q$-analog of the simplicial differential on forms, the $q$-analog of the Hochschild differential and the $q$-analog of the universal differential envelope of an associative unital algebra.
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"abstract": "We present some results concerning the generalized homologies associated with\nnilpotent endomorphisms $d$ such that $d^N=0$ for some integer $N\\geq 2$. We\nthen introduce the notion of graded $q$-differential algebra and describe some\nexamples. In particular we construct the $q$-analog of the simplicial\ndifferential on forms, the $q$-analog of the Hochschild differential and the\n$q$-analog of the universal differential envelope of an associative unital\nalgebra.",
"arxiv_id": "q-alg/9609012",
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"Michel Dubois-Violette"
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"doi": "10.1007/BF01690337",
"title": "Generalized differential spaces with $d^N=0$ and the $q$-differential calculus",
"url": "https://arxiv.org/abs/q-alg/9609012"
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