Gröbner–Shirshov Bases for Universal Enveloping Conformal Algebras of Simple Conformal Lie Superalgebras of Type $W_N$
Algebra i logika, Tome 43 (2004) no. 2, pp. 197-219

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For simple conformal Lie superalgebras of type $W_N$, Gröbner–Shirshov bases of their universal enveloping associative conformal algebras are found. The universal enveloping algebras considered correspond to a minimal locality function for which there is an injective embedding.
Keywords: Gröbner–Shirshov basis, universal enveloping algebra, locality function.
Mots-clés : simple conformal Lie superalgebra
@article{AL_2004_43_2_a4,
     author = {P. S. Kolesnikov},
     title = {Gr\"obner{\textendash}Shirshov {Bases} for {Universal} {Enveloping} {Conformal} {Algebras} of {Simple} {Conformal} {Lie} {Superalgebras} of {Type} $W_N$},
     journal = {Algebra i logika},
     pages = {197--219},
     publisher = {mathdoc},
     volume = {43},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2004_43_2_a4/}
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P. S. Kolesnikov. Gröbner–Shirshov Bases for Universal Enveloping Conformal Algebras of Simple Conformal Lie Superalgebras of Type $W_N$. Algebra i logika, Tome 43 (2004) no. 2, pp. 197-219. http://geodesic.mathdoc.fr/item/AL_2004_43_2_a4/