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Longer titles found: Indefinite orthogonal group (view), Projective orthogonal group (view)

searching for Orthogonal group 40 found (293 total)

Homotopy group (3,417 words) [view diff] no match in snippet view article find links to article

In mathematics, homotopy groups are used in algebraic topology to classify topological spaces. The first and simplest homotopy group is the fundamental

Stress space (181 words) [view diff] exact match in snippet view article find links to article

stress tensors orbits (with respect to proper rotations group – special orthogonal group SO3); every point of H-W space represents one orbit. Functions of the

Plebanski action (407 words) [view diff] exact match in snippet view article find links to article

k} are internal indices, F {\displaystyle F} is a curvature on the orthogonal group S O ( 3 , 1 ) {\displaystyle SO(3,1)} and the connection variables

Smith–Minkowski–Siegel mass formula (2,801 words) [view diff] exact match in snippet view article find links to article

orthogonal group, which is only 1 in dimensions 0 and 1. Also the factor of 2 in front of mp(f) represents the index of the special orthogonal group in

Vernon's verbal-perceptual model (390 words) [view diff] exact match in snippet view article find links to article

needed] could be divided into two separate parts. He named those two orthogonal group factors as verbal-educational factor (v:ed) and perceptual-mechanical

Classifying space for SO(n) (750 words) [view diff] exact match in snippet view article

BSO ⁡ ( n ) {\displaystyle \operatorname {BSO} (n)} for the special orthogonal group SO ⁡ ( n ) {\displaystyle \operatorname {SO} (n)} is the base space

Rigid transformation (1,143 words) [view diff] exact match in snippet view article find links to article

mathematical group under the operation of matrix multiplication called the orthogonal group of n×n matrices and denoted O(n). Compute the determinant of the condition

Conformal linear transformation (785 words) [view diff] exact match in snippet view article find links to article

The Lie group of these transformations has been called the conformal orthogonal group, the conformal linear transformation group or the homogeneous similtude

Cohomological invariant (694 words) [view diff] exact match in snippet view article find links to article

special orthogonal group and the cover is the spin group then the corresponding invariant is essentially the Hasse−Witt invariant. If G is the orthogonal group

Quiver diagram (415 words) [view diff] exact match in snippet view article find links to article

the special unitary group S U ( N ) {\displaystyle SU(N)} , special orthogonal group S O ( N ) {\displaystyle SO(N)} or symplectic group U S p ( N ) {\displaystyle

Triplet state (1,095 words) [view diff] exact match in snippet view article find links to article

representation. The 4-dimensional representation descends to the usual orthogonal group SO(3) and so its objects are tensors, corresponding to the integrality

Maria Gordina (477 words) [view diff] exact match in snippet view article find links to article

functions and the heat kernel measure on an infinite dimensional complex orthogonal group, was supervised by Leonard Gross. Gordina held a post-doctoral appointment

Weyl–Brauer matrices (1,630 words) [view diff] exact match in snippet view article find links to article

These column vectors are the spinors. We now turn to the action of the orthogonal group on the spinors. Consider the application of an orthogonal transformation

Spinor genus (245 words) [view diff] exact match in snippet view article find links to article

spinor equivalent if there exists a transformation g in the proper orthogonal group O+(V) and for every prime p there exists a local transformation fp

A. Edward Nussbaum (1,076 words) [view diff] exact match in snippet view article find links to article

representation of functions and distributions positive definite relative to the orthogonal group". Transactions of the American Mathematical Society. 175: 355–387.

Exceptional isomorphism (641 words) [view diff] exact match in snippet view article find links to article

A6; PSL4(2) ≅ A8; PSU4(2) ≅ PSp4(3), between a projective special orthogonal group and a projective symplectic group. There are coincidences between

Maria Wonenburger (415 words) [view diff] exact match in snippet view article find links to article

focused on group theory and the theory of Lie algebras. She studied the orthogonal group and its corresponding projective group. She directed eight doctoral

Orientability (3,514 words) [view diff] exact match in snippet view article find links to article

which of the two meetings preceded the other. Formally, the pseudo-orthogonal group O(p,q) has a pair of characters: the space orientation character σ+

Brauer–Wall group (549 words) [view diff] exact match in snippet view article find links to article

algebraic aspect of Bott periodicity [citation needed] of period 8 for the orthogonal group. The 8 super division algebras are R, R[ε], C[ε], H[δ], H, H[ε], C[δ]

Gram–Schmidt process (4,060 words) [view diff] exact match in snippet view article find links to article

L ( R n ) {\displaystyle \mathrm {GL} (\mathbb {R} ^{n})} onto the orthogonal group O ( R n ) {\displaystyle O(\mathbb {R} ^{n})} . When this process is

ADE classification (2,628 words) [view diff] exact match in snippet view article find links to article

{so}}_{2n}(\mathbf {R} ),} the algebra of the even projective special orthogonal group P S O ( 2 n ) {\displaystyle PSO(2n)} , while E 6 , E 7 , E 8 {\displaystyle

Cartan's equivalence method (1,252 words) [view diff] exact match in snippet view article find links to article

For example, if M and N are Riemannian manifolds, then G=O(n) is the orthogonal group and θi and γi are orthonormal coframes of M and N respectively. The

Local twistor (630 words) [view diff] exact match in snippet view article find links to article

conformal metric of signature (p,q). The conformal group is the pseudo-orthogonal group SO(p+1,q+1){\displaystyle SO(p+1,q+1)}. There is a conformal Cartan

Tensor (9,356 words) [view diff] case mismatch in snippet view article find links to article

1007/978-3-642-36216-3_3. ISBN 978-3-642-36215-6. Dong, S. H. (2011), "2. Special Orthogonal Group SO(N)", Wave Equations in Higher Dimensions, Springer, pp. 13–38 Bishop

Kosmann lift (1,309 words) [view diff] exact match in snippet view article find links to article

SO(n){\displaystyle {\mathrm {S} \mathrm {O} }(n)\,}-structure. The special orthogonal group SO(n){\displaystyle {\mathrm {S} \mathrm {O} }(n)\,} is a reductive

Split-complex number (4,057 words) [view diff] exact match in snippet view article find links to article

equivalently, the inner product) forms a group called the generalized orthogonal group O(1, 1). This group consists of the hyperbolic rotations, which form

Physics beyond the Standard Model (5,521 words) [view diff] exact match in snippet view article find links to article

the special unitary group in five dimensions SU(5) and the special orthogonal group in ten dimensions SO(10). Theories that unify the standard model symmetries

Toshiyuki Kobayashi (583 words) [view diff] exact match in snippet view article find links to article

Schrodinger model for the minimal representation of the indefinite orthogonal group O(p, q). Memoirs of AMS. ISBN 978-0-8218-4757-2. Kobayashi, T.; Speh

Covering groups of the alternating and symmetric groups (1,852 words) [view diff] exact match in snippet view article find links to article

expressing these as discrete subgroups (point groups). The special orthogonal group has a 2-fold cover by the spin group Spin(n) → SO(n), and restricting

C-symmetry (5,729 words) [view diff] exact match in snippet view article find links to article

setting. The spinor bundle doesn't "just" transform under the pseudo-orthogonal group S O ( p , q ) {\displaystyle SO(p,q)} , the generalization of the Lorentz

David Shale (742 words) [view diff] case mismatch in snippet view article find links to article

David (1966). "Invariant Integration over the Infinite Dimensional Orthogonal Group and Related Spaces". Transactions of the American Mathematical Society

Schur polynomial (3,749 words) [view diff] exact match in snippet view article find links to article

functions Macdonald polynomials Schur polynomials for the symplectic and orthogonal group. k-Schur functions Grothendieck polynomials (K-theoretical analogue

Instanton (6,321 words) [view diff] exact match in snippet view article find links to article

vanishes in the case of the gauge group U(1). If the gauge symmetry is an orthogonal group then this class is the first Pontrjagin class. In 3-dimensional gauge

Pseudo-reductive group (1,102 words) [view diff] exact match in snippet view article find links to article

only exist when [k:k^2]>2 , ultimately resting on a notion of special orthogonal group attached to regular but degenerate and not fully defective quadratic

Euler's rotation theorem (4,498 words) [view diff] exact match in snippet view article find links to article

rotation matrices form a group, usually denoted by SO(3) (the special orthogonal group in 3 dimensions) and all matrices with the same trace form an equivalence

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

variables. Same as binary. Boolean invariant An invariant for the orthogonal group. (Elliott 1895, p.344) bordered Hessian An alternative name for the

Spinors in three dimensions (2,594 words) [view diff] exact match in snippet view article find links to article

particular, the space of spinors is a projective representation of the orthogonal group. As a consequence of this point of view, spinors may be regarded as

Weyl integration formula (1,140 words) [view diff] exact match in snippet view article find links to article

t))=\operatorname {Ad} (g)} . Now, we can view G as a connected subgroup of an orthogonal group (as it is compact connected) and thus det ( Ad ⁡ ( g ) ) = 1 {\displaystyle

Differential geometry of surfaces (17,463 words) [view diff] exact match in snippet view article find links to article

embedded in E2. The isometry group of the unit sphere S2 in E3 is the orthogonal group O(3), with the rotation group SO(3) as the subgroup of isometries preserving

Canonical transformation (10,413 words) [view diff] exact match in snippet view article find links to article

in dimension 2: S O ( 2 ) {\displaystyle SO(2)} is the only special orthogonal group in which every matrix is symplectic. Note that the rotation here acts