Combinatorial Algebra and Its Antisymmetrized Algebra I

Title
Combinatorial Algebra and Its Antisymmetrized Algebra I
Author
박홍구
Keywords
simple; combinatorial algebra; generalized Laurent extension; derivation
Issue Date
2015-12
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Citation
ALGEBRA COLLOQUIUM, v. 22, NO Special 1, Page. 823-834
Abstract
The simple non-associative algebra N (e(AS), q, n, t)(k) and its simple subalgebras are defined in [1, 3, 5-7, 13]. In this work, we define the combinatorial algebra N (e(uP), n, t)(k) and its antisymmetrized algebra N(e(uP), n, t)(k)(-) and their subalgebras. We prove that these algebras are simple. Some authors [2, 5-7, 10, 13, 14, 16, 17] found all the derivations of an associative algebra, a Lie algebra, and a non-associative algebra. We find all the derivations of the subalgebra N(e(+/- x1x2...xn), 0, n)([1]) of N (e(uP),n, t)(k) and the Lie subalgebra N(e(+xy), 0,2)([1])(-) of N (e(uP), n, t)(k)(-).
URI
http://www.worldscientific.com/doi/abs/10.1142/S1005386715000711http://hdl.handle.net/20.500.11754/30076
ISSN
1005-3867
DOI
10.1142/S1005386715000711
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COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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