sigma08-070. 332KB Jun 04 2011 12:10:19 AM
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Then the formal inversion of generating series allows to obtain another form of hierarchical relations and to investigate further (see [ 8 ]) special properties of UBV when
We consider integrable modules L µ with the highest weight µ for affine Lie algebra g and are especially interested in the properties of the string functions related to L µ..
They are closely related to symmetric and antisymmetric orbit functions which are received from exponential functions by symmetrization and antisymmetrization procedure by means of
the present application to phantom energy one might try to use the above mechanism to generate standard symmetry break by starting with a graded Lie algebra but using all vector
Using the extended phase space formula- tion of quantum mechanics [ 11 , 12 , 13 ], Nasiri [ 9 ] has shown that in the Wigner representation of phase space quantum mechanics [ 14 ]
In the next Subsection we use free field resolutions (so called butterfly resolutions) of irre- ducible N = 2 Virasoro algebra modules to represent free field construction of
An illustration of the 9 – 9 – 3 decomposition of the set of free cyclic submodules comprising the Fano-Snowflake with respect to the Jacobson radical of R ♦ according as the number
We provide two equivalent approaches for computing the tail distribution of the first hitting time of the boundary of the Weyl chamber by a radial Dunkl process.. The first approach