Groups of triangular automorphisms of a free associative algebra and a polynomial algebra
نویسندگان
چکیده
منابع مشابه
Automorphisms of a Free Associative Algebra of Rank 2. I
Let Ä<2> = R that keeps (xy — yx) fixed (up to multiplication by an element of R), then . This follows from a more general result about endomorphisms of Ä...
متن کاملThe Automorphisms of Cayley's Non-Associative Algebra.
1 For multiple Fourier integrals in the place of Fourier series this formula has been previously estabLished and made use of in the paper: S. Bochner, "Ein Konvergenzsatz fur mehrvariablige Fouriersche Integrale," Math. Zeit., 34, 440-447 (1931); see also A. C. Berry, "The Fourier Transform Theorem," Jour. Math. Phys. Mass. Inst. Technology, 8, 106-118 (1929). 2 See Bochner, S., "Properties of ...
متن کاملThe group of automorphisms of the Lie algebra of derivations of a polynomial algebra
We prove that the group of automorphisms of the Lie algebra DerK(Pn) of derivations of a polynomial algebra Pn = K[x1, . . . , xn] over a field of characteristic zero is canonically isomorphic to the the group of automorphisms of the polynomial algebra Pn.
متن کاملThe group of automorphisms of the algebra of one-sided inverses of a polynomial algebra, II
The algebra Sn of one-sided inverses of a polynomial algebra Pn in n variables is obtained from Pn by adding commuting, left (but not two-sided) inverses of the canonical generators of the algebra Pn. Ignoring non-Noetherian property, the algebra Sn belongs to a family of algebras like the nth Weyl algebra An and the polynomial algebra P2n. Explicit generators are found for the group Gn of auto...
متن کاملThe group of automorphisms of the algebra of one-sided inverses of a polynomial algebra
The algebra Sn in the title is obtained from a polynomial algebra Pn in n variables by adding commuting, left (but not two-sided) inverses of the canonical generators of Pn. Ignoring non-Noetherian property, the algebra Sn belongs to a family of algebras like the Weyl algebra An and the polynomial algebra P2n. The group of automorphisms Gn of the algebra Sn is found: Gn = Sn ⋉ T n ⋉ Inn(Sn) ⊇ S...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2012
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2011.03.038