47,624 research outputs found
Low dimensional cohomology of general conformal algebras
We compute the low dimensional cohomologies ,
H^q(gc_N,\C) of the infinite rank general Lie conformal algebras with
trivial coefficients for or . We also prove that the
cohomology of with coefficients in its natural module is trivial, i.e.,
H^*(gc_N,\C[\ptl]^N)=0; thus partially solve an open problem of
Bakalov-Kac-Voronov in [{\it Comm. Math. Phys.,} {\bf200} (1999), 561-598].Comment: 18 page
Classification of derivation-simple color algebras related to locally finite derivations
We classify the pairs consisting of an
-olor-commutative associative algebra with an identity
element over an algebraically closed field of characteristic zero and a
finite dimensional subspace of -color-commutative
locally finite color-derivations of such that is -graded
-simple and the eigenspaces for elements of are -graded. Such
pairs are the important ingredients in constructing some simple Lie color
algebras which are in general not finitely-graded. As some applications, using
such pairs, we construct new explicit simple Lie color algebras of generalized
Witt type, Weyl type.Comment: 15 page
Structure of Divergence-Free Lie Algebras
One of the four well-known series of simple Lie algebras of Cartan type is
the series of Lie algebras of Special type, which are divergence-free Lie
algebras associated with polynomial algebras and the operators of taking
partial derivatives, connected with volume-preserving diffeomorphisms. In this
paper, we determine the structure space of the divergence-free Lie algebras
associated with pairs of a commutative associative algebra with an identity
element and its finite-dimensional commutative locally-finite derivation
subalgebra such that the commutative associative algebra is derivation-simple
with respect to the derivation subalgebra.Comment: 36 pages; Latex fil
Introduction
If Hong Kong were easy to simplify, this would have simplified things. Who is a ‘native’ resident? Or, to put the question another way, who is a ‘Hong Kong people’, a common second-language error here that raises interesting and rather profound questions when one unpacks the meaning underneath the Chinglish. Can people other than Cantonese-speaking Chinese fit the definition? Questions like these, as they have played out in the courts and the media, have led to shouting in the streets. And without the editors explicitly naming identity as a focus of this book (it is, after all, a fiction anthology, not a collection of essays in one of the social sciences), identity manifested as a theme in every story we accepted and quite a few that we did not
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