Results 11 to 20 of about 751 (85)
On quantum and classical Poisson algebras [PDF]
, 2005 Results on derivations and automorphisms of some quantum and classical Poisson algebras, as well as characterizations of manifolds by the Lie structure of such algebras, are revisited and extended.
J. Grabowski, N. Poncin
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Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators
Topological Algebra and its Applications, 2018 We study algebraic properties of Poisson brackets on non-associative non-commutative algebras, compatible with their multiplicative structure. Special attention is paid to the Poisson brackets of the Lie-Poisson type, related with the special Lie ...
Artemovych Orest D. +2 more
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AUTOMORPHISMS OF ELLIPTIC POISSON ALGEBRAS [PDF]
, 2008 . We describe the automorphism groups of elliptic Poisson algebras on poly-nomial algebras in three variables and give an explicit set of generators and de๏ฌningrelations for this group.
L. Makar-Limanov +2 more
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Some conditions under which derivations are zero on Banach *-algebras
Acta Universitatis Sapientiae: Mathematica, 2017 Let ๐ be a Banach *-algebra. By ๐ฎ๐ we denote the set of all self-adjoint elements of ๐ and by ๐ช๐ we denote the set of those elements in ๐ which can be represented as finite real-linear combinations of mutually orthogonal projections.
Hosseini Amin
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Finite-dimensional representations of the quantum superalgebra $U_q[gl(n/m)]$ and related q-identities [PDF]
, 1993 Explicit expressions for the generators of the quantum superalgebra $U_q[gl(n/m)]$ acting on a class of irreducible representations are given. The class under consideration consists of all essentially typical representations: for these a Gel'fand-Zetlin ...
A.J. Bracken +36 more
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Inner derivations of alternative algebras over commutative rings
, 2008 We define Lie multiplication derivations of an arbitrary non-associative algebra A over any commutative ring and, following McCrimmon [15], describe them completely if A is alternative.
O. Loos, Holger P. Petersson, M. Racine
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Lie algebras with Frobenius dihedral groups of automorphisms [PDF]
arXiv, 2022 Suppose that a Lie algebra $L$ admits a finite Frobenius group of automorphisms $FH$ with cyclic kernel $F$ and complement $H$ of order 2, such that the fixed-point subalgebra of $F$ is trivial and the fixed-point subalgebra of $H$ is metabelian. Then the derived length of $L$ is bounded by a constant.
arxiv
Fixed Point Theory and Applications, 2012 Using fixed point method, we prove the Hyers-Ulam stability and the superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras.
Choonkill Park, M. Gordji, Y. Cho
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Biderivations of the higher rank Witt algebra without anti-symmetric condition
Open Mathematics, 2018 The Witt algebra ๐d of rank d(โฅ 1) is the derivation algebra of Laurent polynomial algebras in d commuting variables. In this paper, all biderivations of ๐d without anti-symmetric condition are determined. As an applications, commutative post-Lie algebra
Tang Xiaomin, Yang Yu
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The Freiheitssatz for Poisson algebras [PDF]
, 2010 We prove the Freiheitssatz for Poisson algebras in characteristic zero. We also give a proof of the tameness of automorphisms for two generated free Poisson algebras and prove that an analogue of the commutator test theorem is equivalent to the two ...
Makar-Limanov, Leonid, Umirbaev, Ualbai
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