Non - highest weight representations of the current algebra ŝo ( 1 , n ) , and Laplace Operators .
نویسنده
چکیده
Non-highest weight representations of the current algebra so(1, n), and Laplace Operators. Abstract We constructed canonical non-highest weight unitary irreducible representation of so(1, n) current algebra as well as canonical non-highest weight non-unitary representations, We constructed certain Laplacian operators as elements of the universal enveloping algebra, acting in representation space. We speculated about a possible relation of those Laplacians with the loop operator for the Yang-Mills.
منابع مشابه
Related to Quantum Gravity
Classification of finite dimensional irreducible representations of nonstandard q-deformation U ′ q(son) of the universal enveloping algebra U(so(n,C)) of the Lie algebra so(n,C) (which does not coincide with the Drinfeld–Jimbo quantized universal enveloping algebra Uq(son)) is given for the case when q is not a root of unity. It is shown that such representations are exhausted by representatio...
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