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The global additive and multiplicative properties of Laplace type operators acting on irreducible rank 1 symmetric spaces are considered. The explicit form of the zeta function on product spaces and o...
We propose a Bayesian expectation-maximization (EM) algorithm for reconstructing structured approximately sparse signals via belief propagation. The measurements follow an underdetermined linear model...
We use the well-known isomorphism between operator algebras and function spaces equipped with a star product to study the asymptotic properties of certain matrix sequences in which the matrix dimensio...
We introduce the spinor representations for osp(m|2n). These generalize the spinors for so(m) and the symplectic spinors for sp(2n) and correspond to representations of the supergroup with supergroup ...
The Relationship between Inner Product and Counting Cycles     Relationship  Inner Product  Counting Cycles       font style='font-size:12px;'> 2012/12/4
Cycle-Counting is the following communication complexity problem: Alice and Bob each holds a permutation of size n with the promise there will be either a cycles or b cycles in their product. They wan...
Abstract: In the context of non-commutative geometries, we develop a group Fourier transform for the Lie group SU(2). Our method is based on the Schwinger representation of the Lie algebra su(2) in te...
We apply the operator product expansion to determine the asymptotic form of the current response of a Fermi gas in two and three dimensions.
Abstract: In a noncommutative algebra there is no canonical way to express elements in univalent way, which is often called "ordering problem". In this note we give product formula of the Weyl algebra...
Abstract: One of pressing problems in mathematical physics is to find a generalized Poincar\'e symmetry that could be applied to nonflat space-times. As a step in this direction we define the semidire...
Let 􀀀a be Dirac matrices in d-dimensional Minkowski spacetime, and let i = Bab i 􀀀ab, where 􀀀ab = 􀀀[a􀀀b] and Bab i are arbitrary antisymmetric tensors. Th...
An efficient algorithm for the computation of the trace of the symmetrized product of an arbitrary number of Dirac matrices with two indices.
Voros product and the Pauli principle at low energies     Voros product  the Pauli principle       font style='font-size:12px;'> 2010/12/23
Using the Voros star product, we investigate the status of the two particle correlation function to study the possible extent to which the previously proposed violation of the Pauli principle may imp...
Lie Algebra Quantization by the Star Product     Lie Algebra Quantization   Star Product       font style='font-size:12px;'> 2010/12/23
We apply the star product quantization to the Lie algebra. The quantization in terms of the star product is well known and the commutation relation in this case is called the $\theta$-deformation wher...
Integral Octonions, Octonion XY-Product, and the Leech Lattice     Integral Octonions  Octonion XY-Product       font style='font-size:12px;'> 2010/12/23
The integral octonions arise from the octonion XY-product. A parallel is shown to exist with the quaternion Z-product. Connections to the laminated lattices, $\Lambda_{4}$, $\Lambda_{8}$, $\Lambda_{16...
We present a program that allows for the computation of tensor products of irreducible representations of Lie algebras A-G based on the explicit construction of weight states. This straightforward ap...

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