- irreducible unitary
- ireducibilne unitarne
English-Croatian dictionary. 2013.
English-Croatian dictionary. 2013.
Unitary representation — In mathematics, a unitary representation of a group G is a linear representation π of G on a complex Hilbert space V such that π( g ) is a unitary operator for every g ∈ G . The general theory is well developed in case G is a locally compact… … Wikipedia
irreducible — Synonyms and related words: a certain, an, any, any one, atomic, austere, bare, basic, called for, chaste, deep seated, either, elementary, esoteric, essential, exclusive, fundamental, homely, homespun, homogeneous, immanent, implanted, implicit … Moby Thesaurus
unitary — Synonyms and related words: a certain, an, any, any one, atomic, composite, either, exclusive, individual, indivisible, integral, integrant, integrated, irreducible, lone, monadic, monistic, one, rolled into one, simple, single, singular, sole,… … Moby Thesaurus
Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… … Wikipedia
Representation theory of SL2(R) — In mathematics, the main results concerning irreducible unitary representations of the Lie group SL2(R) are due to Gelfand and Naimark (1946), V. Bargmann (1947), and Harish Chandra (1952). Structure of the complexified Lie algebra We choose a… … Wikipedia
Restricted representation — In mathematics, restriction is a fundamental construction in representation theory of groups. Restriction forms a representation of a subgroup from a representation of the whole group. Often the restricted representation is simpler to understand … Wikipedia
Zonal spherical function — In mathematics, a zonal spherical function or often just spherical function is a function on a locally compact group G with compact subgroup K (often a maximal compact subgroup) that arises as the matrix coefficient of a K invariant vector in an… … Wikipedia
Tempered representation — In mathematics, a tempered representation of a linear semisimple Lie group is a representation that has a basis whose matrix coefficients lie in the L p space : L 2+ epsilon;( G ) for any epsilon; gt; 0. FormulationThis condition, as just given,… … Wikipedia
Peter–Weyl theorem — In mathematics, the Peter–Weyl theorem is a basic result in the theory of harmonic analysis, applying to topological groups that are compact, but are not necessarily abelian. It was initially proved by Hermann Weyl, with his student Peter, in the … Wikipedia
Orbit method — In mathematics, the orbit method (also known as the Kirillov theory, the method of coadjoint orbits and by a few similar names) establishes a correspondence between irreducible unitary representations of a Lie group and its coadjoint orbits:… … Wikipedia
Clifford theory — For the result about curves, see Clifford s theorem on special divisors. In mathematics, Clifford theory, introduced by Clifford (1937), describes the relation between representations of a group and those of a normal subgroup. Alfred H. Clifford… … Wikipedia