17,577 research outputs found
Homogeneous right coideal subalgebras of quantized enveloping algebras
For a quantized enveloping algebra of a complex semisimple Lie algebra with
deformation parameter not a root of unity, we classify all homogeneous right
coideal subalgebras. Any such right coideal subalgebra is determined uniquely
by a triple consisting of two elements of the Weyl group and a subset of the
set of simple roots satisfying some natural conditions. The essential
ingredients of the proof are the Lusztig automorphisms and the classification
of homogeneous right coideal subalgebras of the Borel Hopf subalgebras of
quantized enveloping algebras obtained previously by H.-J. Schneider and the
first named author.
Key words: Quantum groups, coideal subalgebras, Weyl group, weak orderComment: 13 page
Podle\'s' Quantum Sphere: Dual Coalgebra and Classification of Covariant First Order Differential Calculus
The dual coalgebra of Podle\'s' quantum sphere O_q(S^2_c) is determined
explicitly. This result is used to classify all finite dimensional covariant
first order differential calculi over O_q(S^2_c) for all but exceptional values
of the parameter c.Comment: LaTeX2e, 19 page
Discovery of Long-Lived Shape Isomeric States which Decay by Strongly Retarded High-Energy Particle Radioactivity
The reaction 28Si + 181Ta has been studied at E(Lab) = 125 and 135 MeV.
Coincidences between high energy particles and various X- and gamma-rays from
abnormally long-lived states were observed. e.g. 7.8 - 8.6 MeV alpha-particles
with gamma-rays of a superdeformed band, 5.1 - 5.5 MeV alpha-particles with X-
and gamma-rays of W, Re, and Pt, and 3.88 MeV particles (interpreted as
protons) with 185.8 keV gamma-rays. The data are interpreted in terms of the
production of long-lived (t(1/2) of several months) high spin isomeric states
in the second well of the potential in the parent nuclei, which decay to the
normal states in the daughters, and in the third well of the potential, which
decay to the second well.Comment: 25 pages including 11 figures and 3 table
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