groups. Often the restricted representation is simpler to understand. Rules for decomposing the restriction of an irreducible representation into irreducible...

function Representation theory of finite groups Modular representation theory Frobenius reciprocity Restricted representation Induced representation Peter–Weyl...

induced representation is a representation of a group, G, which is constructed using a known representation of a subgroup H. Given a representation of H...

characteristic p is restricted. Let g {\displaystyle {\mathfrak {g}}} be a Lie algebra over a field k of characteristic p>0. The adjoint representation of g {\displaystyle...

the restricted representation (see also induced representation). The question of determining this decomposition of the restricted representation of a...

tauberian theorem Representation of a Lie group Unitary representation Irreducible representation Harish-Chandra character Restricted representation Induced representation...

Proportional representation (PR) refers to any electoral system under which subgroups of an electorate are reflected proportionately in the elected body...

A mental representation (or cognitive representation), in philosophy of mind, cognitive psychology, neuroscience, and cognitive science, is a hypothetical...

boundary representation similar to ISO 10303-514, but restricted to the elementary surfaces only ISO 10303-512 Faceted boundary representation a simplified...

term is often restricted to certain Hopf algebras arising as deformations of groups or their universal enveloping algebras. The representation theory of quantum...

reciprocity Induced representation Restricted representation Affine representation Projective representation Modular representation theory Quiver (mathematics)...

portal See Restricted representation and Induced representation for definitions of the processes to which this theorem applies. See Representation theory...

impractical in general Boltzmann machines, it can be made quite efficient in a restricted Boltzmann machine (RBM) which does not allow intralayer connections between...

induced representation of N from H to G, and RM is called the restricted representation of M from G to H. One has that: Ext G n ⁡ ( M , N ↑ H G ) ≅ Ext...

etc. that would be harmful to children under 15 (indirect and restricted representation of sexuality, violence, improper language (expletives) and low...

[SU(2)\times U(1)]/\mathbb {Z} _{2}} . The fermions branch (see restricted representation) as ( 3 , 3 ¯ , 1 ) → ( 3 , 2 ) 1 6 ⊕ ( 3 , 1 ) − 1 3 {\displaystyle...

'lifting', known in special cases, and so is covariant (whereas a restricted representation is contravariant). Attempts to specify a direct construction have...

3, 1) → (1, 3)0 (1, 1, 3) → (1, 1)1 ⊕ (1, 1)0 ⊕ (1, 1)−1 See restricted representation. Of course, calling the representations things like (4, 1, 2)...

ℓ of an ℓ-adic representation. There are numerous conditions on representations given by some property of the representation restricted to a decomposition...

and its representation as a regular continued fraction is periodic. Clearly any regular periodic continued fraction consists of restricted partial quotients...

37236/512, MR 2770130. Burstein, Alexander; Lankham, Isaiah (2010), "Restricted patience sorting and barred pattern avoidance", Permutation patterns,...

group homomorphism φ:G → H, then if we have a H-representation, we can obtain a restricted G-representation. So, if we have a rep of Diffx1(M)/Diffxn(M)...

to the same representation. Generative representation learning tasks the model with producing the correct data to either match a restricted input or reconstruct...

(1950); 2nd edition 1961. Hall–Littlewood polynomials Plethysm Restricted representation Albert, A. A. (1941). "Review of The theory of group characters...

compact subgroup. A continuous representation (π, V) of G on a complex Hilbert space V is called admissible if π restricted to K is unitary and each irreducible...

Mixed-member proportional representation (MMP or MMPR) is a type of representation provided by some mixed electoral systems which combine local winner-take-all...

of E8. The 248-dimensional adjoint representation of E8 may be considered in terms of its restricted representation to the first of these subgroups. It...

additional parties have minimal or nonexistent influence and almost no representation at the national and state level. Causes for this mainly focus on the...

Score voting Approval voting Majority judgment STAR voting Proportional representation Party-list Apportionment Highest averages Largest remainders National...

In the mathematical field of representation theory, a Lie algebra representation or representation of a Lie algebra is a way of writing a Lie algebra...