Results 1  10
of
2,570
Matrix Generators For The Orthogonal Groups
 J. Symbolic Comput
, 1998
"... this paper we describe the corresponding generators for the finite orthogonal groups\Omega\Gamma ..."
Abstract

Cited by 7 (1 self)
 Add to MetaCart
this paper we describe the corresponding generators for the finite orthogonal groups\Omega\Gamma
On the Conjugacy of Orthogonal Groups.
, 2008
"... In much of the mathematical literature, there is talk about the (note the definite article) orthogonal group O(n, FI) of degree n ∈ NI over a field FI. This is extremely misleading, because, given a linear space T of dimension n, one can consider the orthogonal group of any nondegenerate quadratic ..."
Abstract
 Add to MetaCart
In much of the mathematical literature, there is talk about the (note the definite article) orthogonal group O(n, FI) of degree n ∈ NI over a field FI. This is extremely misleading, because, given a linear space T of dimension n, one can consider the orthogonal group of any nondegenerate quadratic
Universal Coverings of Orthogonal Groups
 Adv. Appl. Clifford Algebras
"... Universal coverings of the orthogonal groups and their extensions are studied in terms of CliffordLipschitz groups. An algebraic description of basic discrete symmetries (space inversion P, time reversal T, charge conjugation C and their combinations PT, CP, CT, CPT) is given. Discrete subgroups {1 ..."
Abstract

Cited by 6 (5 self)
 Add to MetaCart
Universal coverings of the orthogonal groups and their extensions are studied in terms of CliffordLipschitz groups. An algebraic description of basic discrete symmetries (space inversion P, time reversal T, charge conjugation C and their combinations PT, CP, CT, CPT) is given. Discrete subgroups
INVOLUTIONS AND COMMUTATORS IN ORTHOGONAL GROUPS
, 1996
"... Suppose we are given a regular symmetric bilinear form on a finitedimensional vector space V over a commutative field K of characteristic 6D 2. We want to write given elements of the commutator subgroup .V / (of the orthogonal group O.V /) and also of the kernel of the spinorial norm ker.2 / as (sh ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
Suppose we are given a regular symmetric bilinear form on a finitedimensional vector space V over a commutative field K of characteristic 6D 2. We want to write given elements of the commutator subgroup .V / (of the orthogonal group O.V /) and also of the kernel of the spinorial norm ker.2
CONTRACTIONS OF QUANTUM ORTHOGONAL GROUPS
"... Abstract Possible contractions of quantum orthogonal groups which correspond to different choices of primitive elements of Hopf algebra are considered and all allowed contractions in CayleyKlein scheme are obtained. Quantum deformations of kinematical groups have been investigated and have shown t ..."
Abstract
 Add to MetaCart
Abstract Possible contractions of quantum orthogonal groups which correspond to different choices of primitive elements of Hopf algebra are considered and all allowed contractions in CayleyKlein scheme are obtained. Quantum deformations of kinematical groups have been investigated and have shown
Interpolation in Special Orthogonal Groups
, 2007
"... The problem of constructing smooth interpolating curves in nonEuclidean spaces finds applications in different areas of science. In this paper we propose a scheme to generate interpolating curves in Lie groups, focusing on a special orthogonal group SO(n). Our technique is based on the exponential ..."
Abstract

Cited by 3 (0 self)
 Add to MetaCart
The problem of constructing smooth interpolating curves in nonEuclidean spaces finds applications in different areas of science. In this paper we propose a scheme to generate interpolating curves in Lie groups, focusing on a special orthogonal group SO(n). Our technique is based on the exponential
Canonical dimension of orthogonal groups
 Transform. Groups
"... Abstract. We prove Berhuy–Reichstein’s conjecture on the canonical dimension of orthogonal groups showing that for any integer n> 1, the canonical dimension of SO2n+1 and of SO2n+2 is equal to n(n + 1)/2. More precisely, for a given (2n + 1)dimensional quadratic form φ defined over an arbitrary ..."
Abstract

Cited by 6 (3 self)
 Add to MetaCart
Abstract. We prove Berhuy–Reichstein’s conjecture on the canonical dimension of orthogonal groups showing that for any integer n> 1, the canonical dimension of SO2n+1 and of SO2n+2 is equal to n(n + 1)/2. More precisely, for a given (2n + 1)dimensional quadratic form φ defined over an arbitrary
Invariants of the halfliberated orthogonal group
 Ann. Inst. Fourier
"... Abstract. The halfliberated orthogonal group O ∗ n appears as intermediate quantum group between the orthogonal group On, and its free version O + n. We discuss here its basic algebraic properties, and we classify its irreducible representations. The classification of representations is done by usi ..."
Abstract

Cited by 15 (6 self)
 Add to MetaCart
Abstract. The halfliberated orthogonal group O ∗ n appears as intermediate quantum group between the orthogonal group On, and its free version O + n. We discuss here its basic algebraic properties, and we classify its irreducible representations. The classification of representations is done
Integrals of monomials over the orthogonal group
 J. Math. Phys
, 2002
"... A recursion formula is derived which allows to evaluate invariant integrals over the orthogonal group O(N), where the integrand is an arbitrary finite monomial in the matrix elements of the group. The value of such an integral is expressible as a finite sum of partial fractions in N. The recursion f ..."
Abstract

Cited by 3 (0 self)
 Add to MetaCart
A recursion formula is derived which allows to evaluate invariant integrals over the orthogonal group O(N), where the integrand is an arbitrary finite monomial in the matrix elements of the group. The value of such an integral is expressible as a finite sum of partial fractions in N. The recursion
A Note on Quotients of Orthogonal Groups A Note on Quotients of Orthogonal Groups A NOTE ON QUOTIENTS OF ORTHOGONAL GROUPS
"... Abstract We discuss the mod 2 cohomology of the quotient of a compact classical Lie group by its maximal 2torus. In particular, the case of the orthogonal group is treated. The case of the spinor group is not included. KEYWORDS: Lie group, cohomology, 2torsion, 2root. A NOTE ON QUOTIENTS OF ORT ..."
Abstract
 Add to MetaCart
Abstract We discuss the mod 2 cohomology of the quotient of a compact classical Lie group by its maximal 2torus. In particular, the case of the orthogonal group is treated. The case of the spinor group is not included. KEYWORDS: Lie group, cohomology, 2torsion, 2root. A NOTE ON QUOTIENTS
Results 1  10
of
2,570