Lie-admissible, nodal, noncommutative Jordan algebras
نویسندگان
چکیده
منابع مشابه
Lie-admissible Algebras and Operads
A Lie-admissible algebra gives a Lie algebra by anticommutativity. In this work we describe remarkable types of Lie-admissible algebras such as Vinberg algebras, pre-Lie algebras or Lie algebras. We compute the corresponding binary quadratic operads and study their duality. Considering Lie algebras as Lie-admissible algebras, we can define for each Lie algebra a cohomology with values in an Lie...
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and x y denotes the product x ‘3~ = my + y.2’. In Section 1 we show that a noncommutative Jordan algebra of characteristic # 2 must satisfy (1). Since power-associative algebras satisfying (1) need not be flexible [5] it follows that the class of power-associative algebras satisfying (1) is strictly larger than the class of noncommutative Jordan algebras. In Section 2 we obtain a structure theo...
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Given a ternary relation C on a set U and an algebra A, we present a construction of a convolution algebra A(U,C) of U = (U,C) over A. This generalises bothmatrix algebras and algebras obtained from convolution of monoids. To any class of algebras corresponds a class of convolution structures. Our study cases are the classes of commutative, associative, Lie, and Jordan algebras. In each of thes...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1971
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1971-0314919-x