Results 31 to 40 of about 229,327 (286)
Twisted duality of the CAR-Algebra [PDF]
We give a complete proof of the twisted duality property M(q)'= Z M(q^\perp) Z* of the (self-dual) CAR-Algebra in any Fock representation. The proof is based on the natural Halmos decomposition of the (reference) Hilbert space when two suitable closed ...
Araki H. +17 more
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Modular representation theory of BIB designs
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Hanaki, Akihide +2 more
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Bulk reconstruction for spinor fields in AdS/CFT
We develop the representation of free spinor fields in the bulk of Lorentzian anti-de Sitter space in terms of smeared operators in the dual conformal field theory. To do this we expand the bulk field in a complete set of normalizable modes, work out the
Valentino F. Foit +2 more
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Mutual information superadditivity and unitarity bounds
We derive the property of strong superadditivity of mutual information arising from the Markov property of the vacuum state in a conformal field theory and strong subadditivity of entanglement entropy. We show this inequality encodes unitarity bounds for
Horacio Casini +2 more
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Split abelian chief factors and first degree cohomology for Lie algebras [PDF]
In this paper we investigate the relation between the multiplicities of split abelian chief factors of finite-dimensional Lie algebras and first degree cohomology.
Feldvoss, Jörg +2 more
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Challenges with Respect to Control of Digital Displacement Hydraulic Units [PDF]
This paper investigates the many complications arising when controlling a digital displacement hydraulic machine with non-smooth dynamical behavior. The digital hydraulic machine has a modular construction with numerous independently controlled pressure ...
Niels Henrik Pedersen +2 more
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Surjektifitas Pemetaan Eksponensial untuk Grup Lie Heisenberg yang Diperumum
The Heisenberg Lie Group is the most frequently used model for studying the representation theory of Lie groups. This Lie group is modular-noncompact and its Lie algebra is nilpotent.
Edi Kurniadi +2 more
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LECTURES ON THE GEOMETRY AND MODULAR REPRESENTATION THEORY OF ALGEBRAIC GROUPS [PDF]
AbstractThese notes provide a concise introduction to the representation theory of reductive algebraic groups in positive characteristic, with an emphasis on Lusztig's character formula and geometric representation theory. They are based on the first author's notes from a lecture series delivered by the second author at the Simons Centre for Geometry ...
Ciappara, Joshua, Williamson, Geordie
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Sheaves on the alcoves and modular representations II
We relate the category of sheaves on alcoves that was constructed in "Sheaves on the alcoves and modular representations I" to the representation theory of reductive algebraic groups.
Fiebig, Peter, Lanini, Martina
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p∗-Theory and modular representation theory
Let F denote a field of characteristic \(p>0\) and let G be a finite group. Let \(f_ 0(G)=\sum_{g\in G}a_ gg\) denote the primitive central idempotent of the principal b-block, \(B_ 0(G)\), of the group algebra FG. Set \(Supp(f_ 0(G))=\{g\in G|\) \(a_ g\neq 0\}\) and \(O_{f_ 0}(G)=\), so that \(Supp(f_ 0(G))\) is a characteristic subset of G and \(O_ ...
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