Sentence examples for central extension from inspiring English sources

The next step is to study the universal central extension as well as the derivation algebra of the core.

These representations are defined by certain positive definite functions (called temperature states) on the universal central extension of the loop group.

Thus, the question of the existence of a linearization is reduced to the algebraic question of the splitting of the central extension given by the Theta group.

In this case, G / K ≅ U 4 ( 2 ), then | K | = 2 and K ≤ Z ( G ). Therefore G is a central extension of K by U 4 ( 2 ).

The central extension of L3 in Saccharomyces cerevisiae was investigated using a combination of molecular genetic, biochemical, chemical probing, and molecular modeling methods.

Therefore | G / C G K K ) | = 1 and K ≤ Z ( G ). Furthermore, G is a central extension of Z 4 by A 6. Obviously, G cannot be a non-split extension central extension of Z 4 by A 6 since the order of Schur multiplier of A 6 is 6.

We consider loop algebras over the basic classical Lie superalgebras, and central extensions thereof, and determine the full set of unitarizable highest weight modules.

If (mathcal V) is a variety of groups, then ({mathcal Z}{mathcal V}) is the variety consisting of all central extensions of groups from (mathcal V).

Since the last property is insensitive to central extensions [41, XII.4.7], the correspondence described above exchanges loop objects L with loop objects L s c.

In [43] a link between central extensions of superconformal algebra and a supersymmetric two-component generalization of the Camassa-Holm equation was concerned.

Nearly all central extensions of the elementary abelian 2-groups by Z2 are shown to act regularly on the associated group divisible design of the Sylvester Hadamard matrices.