# Irreducible Representations

### Some articles on irreducible representations, irreducible, representation, representations, irreducible representation:

Representation Theory - Definitions and Concepts - Subrepresentations, Quotients, and Irreducible Representations
... See also Irreducible (mathematics) and simple module If (W,ψ) is a representation of (say) a group G, and V is a linear subspace of W that is preserved by the action of G in the sense that g · v ∈ V ... The quotient space W/V can also be made into a representation of G ... namely the trivial subspace {0} and W itself, then the representation is said to be irreducible if W has a proper nontrivial subrepresentation, the representation ...
John Mc Kay (mathematician) - Publications
... "On the representation of symmetric polynomials" ... "Groups and subgroups, presentations and representations" ... "Irreducible representations of odd degree" ...
List Of Character Tables For Chemically Important 3D Point Groups - Notation
... The rows of the character tables correspond to the irreducible representations of the group, with their conventional names in the left margin ... The naming conventions are as follows A and B are singly degenerate representations, with the former transforming symmetrically around the principal axis of the ... degenerate representations ...
Maschke's Theorem - Reformulation and The Meaning
... One of the approaches to representations of finite groups is through module theory ... Representations of a group G are replaced by modules over its group algebra K ... Irreducible representations correspond to simple modules ...
Clifford Theory - Alfred H. Clifford - Clifford's Theorem
... Let π G → GL(n,K) be an irreducible representation with K a field ... Then the restriction of π to N breaks up into a direct sum of irreducible representations of N of equal dimensions ... These irreducible representations of N lie in one orbit for the action of G by conjugation on the equivalence classes of irreducible representations of N ...

### Famous quotes containing the word irreducible:

If an irreducible distinction between theatre and cinema does exist, it may be this: Theatre is confined to a logical or continuous use of space. Cinema ... has access to an alogical or discontinuous use of space.
Susan Sontag (b. 1933)