Braided symmetric and exterior algebras and the quantization of braided Lie algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2008), pp. 73-84
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We study quantizations of braided symmetric and exterior algebras of graded vector spaces and of braided derivations on these algebras. We find quantizations of braided Lie algebras by considering quantizations of derivations on their braided exterior algebra.
Mots-clés :
quantization, module.
Keywords: braided algebra, symmetric algebra, derivation, Lie algebra
Keywords: braided algebra, symmetric algebra, derivation, Lie algebra
@article{IVM_2008_4_a7,
author = {H. L. Huru},
title = {Braided symmetric and exterior algebras and the quantization of braided {Lie} algebras},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {73--84},
publisher = {mathdoc},
number = {4},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2008_4_a7/}
}
H. L. Huru. Braided symmetric and exterior algebras and the quantization of braided Lie algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2008), pp. 73-84. http://geodesic.mathdoc.fr/item/IVM_2008_4_a7/