Results 11 to 20 of about 2,621 (128)
Linear Algebra and Smarandache Linear Algebra [PDF]
The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense.
Vasantha, Kandasamy
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Publisher Summary This chapter presents an overview of a characteristic-free approach to the representation theory of the general linear and symmetric groups along letter place algebras. Mackey's intertwining number theorem suggests to watch for a second R -basis of R αβ , which is of representation theoretical relevance. According to Young's rule,
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In this paper we give a simple (local) proof of two principal results about irreducible tempered representations of general linear groups over a non-archimedean local division algebra. We give a proof of the parameterization of the irreducible square integrable representations of these groups by segments of cuspidal representations, and a proof of the ...
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Weyl groups and elliptic solutions of the WDVV equations [PDF]
A functional ansatz is developed which gives certain elliptic solutions of the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations. This ansatz is based on the elliptic trilogarithm function introduced by Beilinson and Levin. For this to be a solution
Ian A. B. Strachan +2 more
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Complete reducibility and separability
Let G be a reductive linear algebraic group over an algebraically closed field of characteristic p > 0. A subgroup of G is said to be separable in G if its global and infinitesimal centralizers have the same dimension. We study the interaction between
Röhrle, Gerhard +7 more
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Amenability, Countable Equivalence Relations, and Their Full Groups [PDF]
This thesis consists of an introduction and four independent chapters. In Chapter 1, we study homeomorphism groups of metrizable compactifications of the natural numbers. Those groups can be represented as almost zero-dimensional Polishable subgroups
Tsankov, Todor Dimitrov
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Engineering multiphoton states for linear optics computation
Transformations achievable by linear optical components allow to generate the whole unitary group only when restricted to the one-photon subspace of a multimode Fock space.
P. Aniello +9 more
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Automorphisms of the affine Cremona group [PDF]
We show that every automorphism of the group Gn := Aut(An) of polynomial automorphisms of complex affine n-space An = Cn is inner up to field automorphisms when restricted to the subgroup TGn of tame automorphisms.
Kraft, Hanspeter, Stampfli, Immanuel
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On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Gordon Blower, Blower, Gordon
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Algebraic Approach to Quantum Gravity: relative realism [PDF]
In the first of three articles, we review the philosophical foundations of an approach to quantum gravity based on a principle of representation-theoretic duality and a vaguely Kantian-Buddist perspective on the nature of physical reality which I have ...
Majid, Shahn
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