WebWe show that the intrinsic group G(K) of a Kac algebra K can be identified with a particular group of automorphisms of the dual Kac algebra K ⌢. This enables us to determine the intrinsic group in a few examples, and also to prove that the intrinsic elements do not … WebThe discussion is carried out with the use of the theory of Kac algebras and its generalizations. A number of problems are formulated. A survey is given of works in which L. S. Pontryagin's duality principle is extended to various classes of, ... “On the intrinsic group of a Kac algebra,” Proc. London, Math. Soc.,40, No. 1, 1–20 (1980).
The intrinsic group of Majid’s bicrossproduct Kac algebra
Webis a Lie algebra product on V/DV, where DV is the image of V under a certain derivation D. This Lie algebra V/DV contains the Kac-Moody algebra A as a subalgebra but is always far larger than A. To reduce V/DV to a smaller subalgebra, we will use the Virasoro algebra. This is spanned by the operators ci and 1, where c is a certain element of V. Webderived algebra of the Kac-Moody algebra given in the book [K1] and the two Lie algebras share a common structure and representation theory. 1.3 Given a field k,letA be a finite dimensional hereditary associative k-algebra, where “hereditary” means Ext 2 A.;/ D0 everywhere. Let modA be the category of finitely generated A-modules. And ... how alcohol affects the family and society
Isometriesbetweenquantumconvolutionalgebras - arXiv
WebIn mathematics, a linear algebraic group is a subgroup of the group of invertible matrices (under matrix multiplication) that is defined by polynomial equations. An example is the … WebAlso, in recent times, the topic of "quantum groups" has become very fashionable and attracted the attention of more and more mathematicians and theoret ical physicists. One is still missing a good characterization of quantum groups among Hopf algebras, similar to the character ization of Lie groups among locally compact groups. Web10 de set. de 2002 · We show that the intrinsic group G(K) of a Kac algebra K can be identified with a particular group of automorphisms of the dual Kac algebra . how many hours between ativan doses