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Longer titles found: Pseudo-reductive group (view)

searching for Reductive group 16 found (206 total)

Langlands dual group (936 words) [view diff] exact match in snippet view article find links to article

field K, then its Langlands dual group LG is the complex connected reductive group whose root datum is dual to that of G. Examples: The Langlands dual

Gopal Prasad (1,799 words) [view diff] exact match in snippet view article find links to article

geometric Langlands program, Prasad and Yu determined all the quasi-reductive group schemes over a discrete valuation ring (DVR), [25]. In collaboration

Cusp form (657 words) [view diff] exact match in snippet view article find links to article

P = M U {\displaystyle P=MU} a standard parabolic subgroup of some reductive group G {\displaystyle G} (over A {\displaystyle \mathbb {A} } , the adele

Whittaker model (668 words) [view diff] exact match in snippet view article find links to article

Whittaker functionals has dimension at most equal to one. If G is a split reductive group and U is the unipotent radical of a Borel subgroup B, then a Whittaker

Levi decomposition (472 words) [view diff] exact match in snippet view article find links to article

representation theory, Levi decomposition of parabolic subgroups of a reductive group is needed to construct a large family of the so-called parabolically

Classification theorem (650 words) [view diff] exact match in snippet view article find links to article

Classification of simple real Lie algebras – graph encoding the structure of a reductive group over a non-algebraically-closed field, in which vertices are colored

Peter Trapa (335 words) [view diff] exact match in snippet view article find links to article

Vogan, he devised an algorithm to compute the unitary dual of a real reductive group. With his collaborators, he developed a Shimura correspondence for

Unitarian trick (974 words) [view diff] exact match in snippet view article find links to article

ways in contemporary mathematics. One such formulation is for G a reductive group over the complex numbers. Then Gan, the complex points of G considered

Haboush's theorem (1,094 words) [view diff] exact match in snippet view article find links to article

Nagata's earlier results together with Haboush's theorem show that if a reductive group (over an algebraically closed field) acts on a finitely generated algebra

Springer correspondence (847 words) [view diff] exact match in snippet view article find links to article

Lusztig, George (1984). "Intersection cohomology complexes on a reductive group". Inventiones Mathematicae. 75 (2): 205–272. doi:10.1007/BF01388564

Moduli stack of principal bundles (896 words) [view diff] exact match in snippet view article find links to article

only a flat group scheme of finite type over X see. If G is a split reductive group, then the set of connected components π 0 ( Bun G ⁡ ( X ) ) {\displaystyle

Local Langlands conjectures (2,041 words) [view diff] exact match in snippet view article find links to article

them should be. Roughly speaking, admissible representations of a reductive group are grouped into disjoint finite sets called L-packets, which should

Nisnevich topology (1,767 words) [view diff] exact match in snippet view article find links to article

Jean-Pierre Serre which states that a rationally trivial torsor under a reductive group scheme over an integral regular Noetherian base scheme is locally trivial

Equivariant sheaf (1,463 words) [view diff] exact match in snippet view article find links to article

complete variety over an algebraically closed field acted by a connected reductive group G and L an invertible sheaf on it. If X is normal, then some tensor

Algebraic torus (3,967 words) [view diff] exact match in snippet view article find links to article

{}_{F}\mathbf {T} } in G {\displaystyle \mathbf {G} } (the latter is only a reductive group). As its name indicates it is an anisotropic group, and its absolute

Glossary of invariant theory (4,614 words) [view diff] exact match in snippet view article find links to article

the ring of invariants of a finite-dimensional representation of a reductive group is finitely generated. homographic 1. A homographic transformation