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{{short description|Result in representation theory}} ...representation]] of ''G'' on a [[Hilbert space]] ''H'', then for any ''x'' in ''G'', which has [[Glossary of Riemannian and metric geometry#C|conjugate]] ...

...ved by [[Richard Brauer]] and [[Cecil J. Nesbitt]] in the [[representation theory]] of [[finite group]]s. In [[modular representation theory]], ...

There are several mathematical theorems named after [[Ferdinand Georg Frobenius]]. They include: * [[Frobenius theorem (differential topology)]] in differential geometry and topology for integrable subbundles ...

...omsky–Schützenberger theorem''' may refer to either of two different theorems derived by [[Noam Chomsky]] and [[Marcel-Paul Schützenberger]] concerning [ *The [[Chomsky–Schützenberger representation theorem]] representing any context-free language by a combination of a regu ...

In [[mathematics]], a '''representation theorem''' is a [[theorem]] that states that every abstract structure with ...sentation theory]] studies properties of abstract groups via their [[group representation|representations]] as [[linear transformation]]s of [[vector space]]s. ...

{{Short description|Theorem in probability theory}} ...tration]] generated by a [[Wiener process|Brownian motion]] can be written in terms of an [[Itô integral]] with respect to this Brownian motion. ...

Several theorems proved by the French [[mathematician]] [[Claude Chevalley]] bear his name. * [[Chevalley–Shephard–Todd theorem]] in [[invariant theory]] of [[finite group]]s. ...

...''' ('''MDS''') is related to the concept of the [[martingale (probability theory)|martingale]]. A [[stochastic process|stochastic series]] ''X'' is an MDS ...ce than [[independence (probability theory)|independence]], yet most limit theorems that hold for an independent sequence will also hold for an MDS. ...

* [[Lupanov representation]] [[Talk:Lupanov representation| ]] == Theorems and specific laws == ...

{{short description|Theorem in the representation theory of linear algebraic groups}} ...tics]], the '''Lie–Kolchin theorem''' is a theorem in the [[representation theory]] of [[linear algebraic group]]s; '''[[Lie's theorem]]''' is the analog for ...

...ften now called ''[[elementary algebra]]''. The distinction is rarely made in more recent writings. Structure preserving maps called ''homomorphisms'' are vital in the study of algebraic objects. ...

{{Short description|Formalization of quantum field theory}} ...eraction|forces of nature]] are believed to have their natural description in terms of [[Field (physics)#Quantum fields|quantum fields]]. ...

{{About|Bochner's theorem in [[harmonic analysis]]|Bochner's theorem in Riemannian geometry|Bochner's theorem (Riemannian geometry)}} ...].)<ref>{{citation|author=William Feller|title=Introduction to probability theory and its applications, volume 2|page=634|publisher=Wiley}}</ref> ...

...nifold may be obtained by performing [[Dehn surgery]] on a [[framed link]] in the [[3-sphere]] with ±1 surgery coefficients. Furthermore, each component ...ed by [[Dehn twist]]s along 3''g'' &minus; 1 specific simple closed curves in the surface, where ''g'' denotes the [[genus (mathematics)|genus]] of the s ...

** [[Reciprocal trade agreement]], entered into in order to reduce (or eliminate) tariffs, quotas and other trade restrictions ** In the United States specifically: ...

...e theory is named after [[Tadao Tannaka]] and [[Mark Grigorievich Krein]]. In contrast to the case of commutative groups considered by [[Lev Pontryagin]] ...tical physics|mathematical physicists]]. A generalization of Tannaka–Krein theory provides the natural framework for studying representations of [[quantum gr ...

...ss=subscription}}</ref> Stone was led to it by his study of the [[spectral theory]] of [[Linear operator|operators]] on a [[Hilbert space]].<ref>{{Cite web | ...], denoted here ''S''(''B''), called its '''[[Stone space]]'''. The points in ''S''(''B'') are the [[ultrafilter]]s on ''B'', or equivalently the [[homom ...

{{short description|Theorem in homotopy theory}} ...'. The conjecture was made in the mid 1970s by [[Graeme Segal]] and proved in 1984 by [[Gunnar Carlsson]]. This statement is still commonly referred to a ...

...al results factored out of proofs). See also [[list of axioms]], [[list of theorems]] and [[list of conjectures]]. {{Main category|Lemmas in algebra}} ...

* [[Riesz representation theorem]] * [[Spectral theorem]], [[Spectral theory]] ...