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Longer titles found: Graded-symmetric algebra (view)

searching for Symmetric algebra 18 found (83 total)

Hirzebruch surface (1,693 words) [view diff] no match in snippet view article find links to article

In mathematics, a Hirzebruch surface is a ruled surface over the projective line. They were studied by Friedrich Hirzebruch (1951). The Hirzebruch surface

Fixed-point subring (613 words) [view diff] exact match in snippet view article find links to article

for some unipotent groups. Let G be a finite group. Let S be the symmetric algebra of a finite-dimensional G-module. Then G is a reflection group if

Michel Duflo (183 words) [view diff] exact match in snippet view article find links to article

algebra of a finite-dimensional Lie algebra and the invariants of its symmetric algebra. In 1974 he was an invited speaker at the International Congress of

Glossary of tensor theory (1,034 words) [view diff] exact match in snippet view article find links to article

weight k being called the k-th exterior power of V. Symmetric power, symmetric algebra This is the invariant way of constructing polynomial algebras. Metric

Berezinian (802 words) [view diff] exact match in snippet view article find links to article

M is a free module of dimension (p,q) over R. Let A be the (super)symmetric algebra S*(M*) of the dual M* of M. Then an automorphism of M acts on the

Plethystic substitution (712 words) [view diff] exact match in snippet view article find links to article

{\displaystyle h_{n}\left[X/(1-t)\right]} is the Frobenius series for the symmetric algebra of the defining representation of the symmetric group. Combinatorics

Reynolds operator (996 words) [view diff] exact match in snippet view article find links to article

a finite-dimensional representation of G. Then G also acts on the symmetric algebra SV of polynomials. The Reynolds operator R is the G-invariant projection

Free Lie algebra (1,272 words) [view diff] exact match in snippet view article find links to article

By the Poincaré–Birkhoff–Witt theorem it is the "same size" as the symmetric algebra of the free Lie algebra (meaning that if both sides are graded by

Monad (category theory) (4,489 words) [view diff] exact match in snippet view article

rx+(1-r)y} in Euclidean space. Another useful example of a monad is the symmetric algebra functor on the category of R {\displaystyle R} -modules for a commutative

Topological quantum field theory (3,764 words) [view diff] exact match in snippet view article find links to article

homology. Thus 4-manifolds should have extra data consisting of the symmetric algebra of H2. Witten (1988a) has produced a super-symmetric Lagrangian which

Cone (algebraic geometry) (1,354 words) [view diff] exact match in snippet view article

bundle (finite-rank locally free sheaf) E on X, if R=Sym(E*) is the symmetric algebra generated by the dual of E, then the cone Spec X ⁡ R {\displaystyle

Lie algebra representation (4,312 words) [view diff] exact match in snippet view article find links to article

is abelian, then U ( g ) {\displaystyle U({\mathfrak {g}})} is the symmetric algebra of the vector space g {\displaystyle {\mathfrak {g}}} . Since g {\displaystyle

Glossary of algebraic geometry (12,496 words) [view diff] exact match in snippet view article find links to article

V. In contrast, Hartshorne and EGA write P(V) for the Proj of the symmetric algebra of V. Q-factorial A normal variety is Q {\displaystyle \mathbb {Q}

Differential form (10,058 words) [view diff] exact match in snippet view article find links to article

Weyl algebra and is a noncommutative ("quantum") deformation of the symmetric algebra in the vector fields. One important property of the exterior derivative

BRST quantization (9,464 words) [view diff] exact match in snippet view article find links to article

C^{\infty }(M)} , where S ( g ) {\displaystyle S({\mathfrak {g}})} is the symmetric algebra of g {\displaystyle {\mathfrak {g}}} , and the module structure comes

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

space and the other to its dual, or in other words an element of the symmetric algebra of V⊕V* for a vector space V. Introduced by Clebsch. continuant A

Hermitian symmetric space (7,418 words) [view diff] exact match in snippet view article find links to article

{\mathfrak {m}}_{1}={\mathfrak {l}}\cap {\mathfrak {m}}.}} Any orthogonal symmetric algebra ( g {\displaystyle {\mathfrak {g}}} , σ) of Hermitian type can be

Glossary of classical algebraic geometry (11,133 words) [view diff] exact match in snippet view article find links to article

p.55, 231) apolar Orthogonal under the polar pairing between the symmetric algebra of a vector space and its dual. arithmetic genus The arithmetic genus