Results 11 to 20 of about 1,578,942 (334)

Group gradings on finitary simple Lie algebras [PDF]

open access: yesInternational Journal of Algebra and Computation, 2012
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]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
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

Toda systems and exponents of simple Lie groups [PDF]

open access: greenBulletin des Sciences Mathématiques, 2001
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
openalex   +4 more sources

The index of compact simple Lie groups [PDF]

open access: yesBulletin of the London Mathematical Society, 2017
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
openaire   +8 more sources

On discretization of tori of compact simple Lie groups [PDF]

open access: greenJournal of Physics A: Mathematical and Theoretical, 2009
22 pages, 6 ...
Jiří Hrivnák, J. Patera
openalex   +5 more sources

COMP Report: CPQR technical quality control guidelines for use of positron emission tomography/computed tomography in radiation treatment planning

open access: yesJournal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022
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]

open access: yesGlasnik Matematicki, 2021
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
openaire   +4 more sources

Taut representations of compact simple Lie groups [PDF]

open access: bronzeIllinois Journal of Mathematics, 2008
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
openalex   +5 more sources

Curvature spectra of simple Lie groups [PDF]

open access: yesAbhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2013
10 ...
Andrzej Derdzinski, Światosław R. Gal
openaire   +3 more sources

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