Generic algebras with quadratic commutation relations
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VIII, Tome 155 (1986), pp. 176-180
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A complete description of generic algebras with in generators, $m\geqslant3$ and quadratic relations is presented. In particular, their dimension is shown to be finite thus confirming an earlier conjecture due to A. M. Vershik.
@article{ZNSL_1986_155_a10,
author = {M. B. Zvyagina},
title = {Generic algebras with quadratic commutation relations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {176--180},
year = {1986},
volume = {155},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_155_a10/}
}
M. B. Zvyagina. Generic algebras with quadratic commutation relations. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VIII, Tome 155 (1986), pp. 176-180. http://geodesic.mathdoc.fr/item/ZNSL_1986_155_a10/