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Representations of Anisotropic Unitary Groups [PDF]
Transactions of the American Mathematical Society, 1988 Let S U ( f ) SU(f) be the special unitary group of an anisotropic hermitian form f f over a field k k . Assume f f represents only one norm class in k k . The representations α : S U
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SciPost Physics Lecture NotesWe revisit the classifications of classical and quantum galilean particles: that is, we fully classify homogeneous symplectic manifolds and unitary irreducible projective representations of the Galilei group.
José Miguel Figueroa-O'Farrill, Simon Pekar, Alfredo Pérez, Stefan Prohazka
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Supersymmetric partially massless fields and non-unitary superconformal representations
Journal of High Energy Physics, 2018 We find and classify the N = 1 $$ \mathcal{N}=1 $$ SUSY multiplets on AdS4 which contain partially massless fields. We do this by studying the non-unitary representations of the d = 3 superconformal algebra of the boundary.
Sebastian Garcia-Saenz +2 more
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Unitary representations of non-compact supergroups [PDF]
Communications in Mathematical Physics, 1983 Lie superalgebras have been studied as a model of the symmetries of elementary particles [e.g., \textit{J. Wess} and \textit{B. Zumino}, Supergauge transformations in four dimensions, Nucl. Phys. B 70, 39--50 (1974)], and as interesting mathematical objects in their own right [e.g. \textit{V. G. Kac}, Adv. Math. 26, 8--96 (1977; Zbl 0366.17012)].
Bars, I., Günaydin, M.
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Generation of Basis Vectors for Magnetic Structures and Displacement Modes
Advances in Condensed Matter Physics, 2016 Increasing attention is being focused on the use of symmetry-adapted functions to describe magnetic structures, structural distortions, and incommensurate crystallography.
Z. L. Davies, A. S. Wills
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On the Unitary Representations of the Braid Group B6
Mathematics, 2019 We consider a non-abelian leakage-free qudit system that consists of two qubits each composed of three anyons. For this system, we need to have a non-abelian four dimensional unitary representation of the braid group B 6 to obtain a totally ...
Malak M. Dally, Mohammad N. Abdulrahim
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, 2003 We stress that the dS/CFT correspondence should be formulated using unitary principal series representations of the de Sitter isometry group/conformal group, rather than highest-weight representations as originally proposed.
A. Jevicki +39 more
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Twisted homology for the mirabolic nilradical
, 2014 The notion of derivatives for smooth representations of $GL(n,\mathbb{Q}_p)$ was defined in [BZ77]. In the archimedean case, an analog of the highest derivative was defined for irreducible unitary representations in [Sah89] and called the "adduced ...
Aizenbud, Avraham +2 more
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Centralizers of the infinite symmetric group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We review and introduce several approaches to the study of centralizer algebras of the infinite symmetric group $S_{\infty}$. Our work is led by the double commutant relationship between finite symmetric groups and partition algebras; in the case of $S_{\
Zajj Daugherty, Peter Herbrich
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Vacuum states from a resolution of the lightcone singularity
Physics Letters B, 2021 The lightcone singularity at the origin is resolved by blowing up the singular point to CP1. The Lorentz group acts on the resolved lightcone and has CP1 as a special orbit.
G. Papadopoulos
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