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{{Short description|Group representation via algebra automorphisms}} {{distinguish|algebra representation}} ...

...the [[representation theory]] of [[algebraic group]]s. She is a professor of mathematics at the [[École Polytechnique Fédérale de Lausanne]] in Switzerl ...egon]] in 1985. Her dissertation, ''Certain Embeddings of Simple Algebraic Groups'', was supervised by [[Gary Seitz]].{{r|mg}} As a faculty member at [[Wesle ...

...of ''G'' and ''K'' is a [[maximal compact subgroup]] of ''G''.<ref>Page 12 of {{harvnb|Doran|Varadarajan|2000}}</ref> ...sentation]] of ''K'' (without regard to the [[topological space|topology]] of ''K'') satisfying the following three conditions ...

...coordinate rings''' is a [[representation of a group]] on coordinate rings of affine varieties. ...g^{-1} x)</math>. This is a representation of ''G'' on the coordinate ring of ''X''. ...

...(discrete subgroup)|lattices]] in Lie groups, often under the name ''field of definition''. == Fuchsian and Kleinian groups == ...

{{Short description|Conjecture in modular representation theory}} ...t1=Brauer |first1=Richard D. |year=1963 |chapter=Representations of finite groups |title=Lectures in Mathematics |volume=1 |publisher=Wiley | pages=133–175 | ...

...tician)|year=1967}} on [[p-divisible group]]s, and named them Mumford–Tate groups. ...e shape that is given by the action of ''a''+''bi'' on the basis {1,''i''} of the complex numbers '''C''' over '''R''': ...

{{Short description|Mathematical functor in representation theory and algebraic topology}} ...the theory of representations of finite groups. Part I: The Burnside ring of a finite group and some AGN-applications". Bielefeld.</ref><ref name="nlab" ...

...braic scheme ''X'' with [[linear algebraic group action|action of a linear algebraic group]] ''G'', via Quillen's [[Q-construction]]; thus, by definition, .... Thomason (1952–1995)].</ref> Specifically, he proved equivariant analogs of fundamental theorems such as the localization theorem. ...

{{short description|In mathematics, representation of a reductive algebraic group}} ...r the group SL₂('''R''') some of the functions involved in the representation are [[Whittaker function]]s. ...

...ch are invariant under the [[group action|action]] of a Lie group in terms of functions on a [[Cartan subalgebra]]. ...the Lie algebra of ''G'' || <math>\mathfrak{sl}_n</math>, the Lie algebra of matrices with [[trace (linear algebra)|trace]] zero ...

...wiki />''T''-variety'''. In differential geometry, one considers an action of a real or complex torus on a manifold (or an [[orbifold]]). A [[normal scheme|normal]] algebraic variety with a torus acting on it in such a way that there is a dense orbit ...

...(29 May 1938, [[São Paulo]]) is a German mathematician, specializing in [[algebraic topology]]. Tammo tom Dieck studied mathematics from 1957 at the [[University of Göttingen]] ...

...the [[Lie group–Lie algebra correspondence]] and its variant for algebraic groups in the characteristic zero; for example, this approach taken in {{harv|Jant === The Lie algebra of a linear algebraic group === ...

In [[mathematics]], specifically in the field of [[modular representation theory]], the | title = Proceedings of the international symposium on algebraic number theory, Tokyo and Nikko, 1955 ...

...n_for = Writing ''Introduction to Lie Algebras and Representation Theory''<br/>Receiving the [[Lester R. Ford Award]] in 1976 ...46 |url=https://www.cambridge.org/core/books/reflection-groups-and-coxeter-groups/2910C1E00877D33A04A512791B6EDD72|last1=Humphreys |first1=James E. |isbn=978 ...

...nite]]; this explains the terminology. Basic examples of locally profinite groups are [[discrete group]]s and the [[p-adic Lie group|''p''-adic Lie group]]s. ...field: this is in contrast to the fact that the [[absolute Galois group]] of such is profinite (in particular compact). ...

...ort description|Mathematical result about equivariant K-theory in homotopy theory}} ...orem]] in [[mathematics]] about [[equivariant]] [[K-theory]] in [[homotopy theory]]. Let ''G'' be a [[compact group|compact]] [[Lie group]] and let ''X'' be ...

{{Short description|Braid group representation}} ...ion is the [[Burau representation]] and the second is the Lawrence–Krammer representation. ...

...tion theory of a connected compact Lie group|irreducible representations]] of a connected compact [[Lie group]] <math>K</math>.<ref name="12.6">{{harvnb| ...n the two results is in the precise notion of "integral" in the definition of a dominant integral element. If <math>K</math> is simply connected, this di ...