Realization ofU q (so(N)) within the differential algebra onR q N
نویسندگان
چکیده
منابع مشابه
Masses of Decuplet Baryons Treated within Anyonic Realization of the Q-algebras U Q (su N )
In the approach to hadronic flavour symmetries based on the q-algebras U q (su N) and proved to be realistic, the known construction of U q (su N) in terms of anyonic oscillators residing on 2d lattice is utilized. Anyonic Fock-like realization of basis state vectors is given for baryons (3/2) + from the 10-plet of U q (su 3) embedded, via 20-plet of U q (su 4), into the " dynamical " represent...
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A classification of finite dimensional irreducible representations of the nonstandard q-deformation U ′ q (so n) of the universal enveloping algebra U (so(n, C)) of the Lie algebra so(n, C) (which does not coincides with the Drinfeld–Jimbo quantized universal enveloping algebra U q (so n)) is given for the case when q is not a root of unity. It is shown that such representations are exhausted b...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1995
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02099309