منابع مشابه
Lie-type higher derivations on operator algebras
Motivated by the intensive and powerful works concerning additive mappings of operator algebras, we mainly study Lie-type higher derivations on operator algebras in the current work. It is shown that every Lie (triple-)higher derivation on some classical operator algebras is of standard form. The definition of Lie $n$-higher derivations on operator algebras and related pot...
متن کاملRealization of locally extended affine Lie algebras of type $A_1$
Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras. After that, various generalizations of these Lie algebras have been investigated by others. It is known that a locally extended affine Lie algebra can be recovered from its centerless core, i.e., the ideal generated by weight...
متن کاملSimple Algebras of Weyl Type
Over a field IF of any characteristic, for a commutative associative algebra A with an identity element and for the polynomial algebra IF [D] of a commutative derivation subalgebra D of A, the associative and the Lie algebras of Weyl type on the same vector space A[D] = A ⊗ IF [D] are defined. It is proved that A[D], as a Lie algebra (modular its center) or as an associative algebra, is simple ...
متن کاملQuantum Lie Algebras of Type
It is shown that the quantised enveloping algebra of sl(n) contains a quantum Lie algebra, deened by means of axioms similar to Woro-nowicz's. This gives rise to Lie algebra-like generators and relations for the locally nite part of the quantised enveloping algebra, and suggests a canonical Poincar e-Birkhoo-Witt basis.
متن کاملLevel Algebras of Type 2
In this paper we study standard graded artinian level algebras, in particular those whose socle-vector has type 2. Our main results are: the characterization of the level h-vectors of the form (1, r, ..., r, 2) for r ≤ 4; the characterization of the minimal free resolutions associated to each of the h-vectors above when r = 3; a sharp upper-bound (under certain mild hypotheses) for the level h-...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2001
ISSN: 0195-6698
DOI: 10.1006/eujc.2001.0489