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Discrete series of odd general spin groups
We obtain a Mœglin–Tadić type classification of the non-cuspidal discrete series of odd general spin groups over non-archimedean local fields of...
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Spin Groups and Spinors
We present some results on spin groups and their representations which are meant to be an introduction to the subject but which are far from being a...
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Representations of Graph States with Neural Networks
Quantum many-body problem (QMBP) has become a hot topic in high energy physics and condensed matter physics. With the exponential increasing of the...
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Special Unipotent Representations of Simple Linear Lie Groups of Type A
Let G be a special linear group over the real, the complex or the quaternion, or a special unitary group. In this note, we determine all special...
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Schroedinger equation, spin and topology
The presence of imaginary unit i at a fundamental level in the Schroedinger wave equation has led to the mysterious interpretation of quantum theory....
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Representations of Pauli–Fierz Type Models by Path Measures
Functional integral representations of the semigroups generated by Pauli–Fierz type Hamiltonians in quantum field theory are reviewed. Firstly we...
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Upper bounds for eigenvalue multiplicities of almost cyclic elements in irreducible representations of simple algebraic groups
We study the rational irreducible representations of simple algebraic groups in which some non-central semisimple element has at most one eigenvalue...
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G-invariant spin structures on spheres
We examine which of the compact connected Lie groups that act transitively on spheres of different dimensions leave the unique spin structure of the...
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Spectra, Group Representations and Twisted Laplacians
In this chapter, we review basic notions about spectra, group representations, and twisted Laplace operators. We first recall how to define the...
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STRUCTURE OF SOLUTIONS OF THE PROBLEM OF SPIN COMBUSTION IN THE RING
The phenomenological equation of spin combustion, when the zone of combustion reaction spread is the ring, is considered. The action of...
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Gauging Higher-Spin-Like Symmetries Using the Moyal Product
Well established approaches to gauging U(1) transformations or spacetime translations lead to theories of interacting bosons of spin 1 or spin 2. We...