In group theory, an isotypical, primary or factor representation of a group G is a unitary representation π : G ⟶ B ( H ) {\displaystyle \pi :G\longrightarrow...

representations Isotypical representation Representation theory of SL2(R) Representations of the Lorentz group Stone–von Neumann theorem Unitary representation of...

specifically in representation theory, a semisimple representation (also called a completely reducible representation) is a linear representation of a group...

refer to the section on direct sums of representations. A representation is called isotypic if it is a direct sum of pairwise isomorphic irreducible representations...

the isotypic component of A of trivial type. 2.  The isotypic decomposition of a semisimple representation is the decomposition into the isotypic components...

In mathematics, a representation on coordinate rings is a representation of a group on coordinate rings of affine varieties. Let X be an affine algebraic...

each irreducible representation W {\displaystyle W} of G, the action of H on V preserves W ~ {\displaystyle {\tilde {W}}} – the isotypic component of W...

observables. A unitary representation of O may be decomposed as the direct sum of irreducible unitary representations of O. Each isotypic component in this...

covariant) variables for a standard classical group action; second, the isotypic decomposition of the full tensor algebra for such an action. 1Most people...

algebra and the exterior algebra appear as the isotypical components of the trivial and sign representation of the action of S n {\displaystyle S_{n}} acting...

include the ring of n × n real square matrices with n ≥ 2, group rings in representation theory, operator algebras in functional analysis, rings of differential...

300 AD in China. This was likely to be a liquid colloid of gold. Leonite is isotypic with the mineral mereiterite (K2Fe(SO4)2·4H2O), and with artificial Mn-leonite...