Results 11 to 20 of about 1,578,942 (334)
Group gradings on finitary simple Lie algebras [PDF]
We classify, up to isomorphism, all gradings by an arbitrary abelian group on simple finitary Lie algebras of linear transformations (special linear, orthogonal and symplectic) on infinite-dimensional vector spaces over an algebraically closed field of ...
Bahturin Y.+7 more
core +4 more sources
Orthogonal Polynomials of Compact Simple Lie Groups [PDF]
Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Maryna Nesterenko+2 more
doaj +5 more sources
On simple groups associated with the real simple Lie algebras [PDF]
Eiichi Abe
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Toda systems and exponents of simple Lie groups [PDF]
AbstractResults on the finite nonperiodic An Toda lattice are extended to the Bogoyavlesky Toda systems of type Bn and Cn. The areas investigated, include master symmetries, recursion operators, higher Poisson brackets and invariants. The results are presented both in Flaschka coordinates (a,b) as well as in the natural (q,p) coordinates.
Joana M. Nunes da Costa+1 more
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The index of compact simple Lie groups [PDF]
Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal codimension of a (non-trivial) totally geodesic submanifold of M. The purpose of this note is to determine the index i(M) for all irreducible Riemannian symmetric spaces M of type (II) and (IV).
Berndt, Jurgen, Olmos, Carlos
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On discretization of tori of compact simple Lie groups [PDF]
22 pages, 6 ...
Jiří Hrivnák, J. Patera
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Abstract Positron emission tomography with x‐ray computed tomography (PET/CT) is increasingly being utilized for radiation treatment planning (RTP). Accurate delivery of RT therefore depends on quality PET/CT data. This study covers quality control (QC) procedures required for PET/CT for diagnostic imaging and incremental QC required for RTP.
Ran Klein+7 more
wiley +1 more source
Approximation of nilpotent orbits for simple Lie groups [PDF]
We propose a systematic and topological study of limits \(\lim_{\nu\to 0^+}G_\mathbb{R}\cdot(\nu x)\) of continuous families of adjoint orbits for a non-compact simple real Lie group \(G_\mathbb{R}\). This limit is always a finite union of nilpotent orbits.
Fresse, Lucas, Mehdi, Salah
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Taut representations of compact simple Lie groups [PDF]
In this paper we classify the reducible representations of compact simple Lie groups all of whose orbits are tautly embedded in Euclidean space with respect to Z_2 coefficients.
Cláudio Gorodski
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Curvature spectra of simple Lie groups [PDF]
10 ...
Andrzej Derdzinski, Światosław R. Gal
openaire +3 more sources