Valued Graphs and the Representation Theory of Lie Algebras [PDF]
Quivers (directed graphs) and species (a generalization of quivers) and their representations play a key role in many areas of mathematics including combinatorics, geometry, and algebra.
Assem+14 more
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Representation Theory of Quivers and Finite Dimensional Algebras [PDF]
Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics.
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Big image of Galois representations associated with finite slope $p$-adic families of modular forms [PDF]
We consider the Galois representation associated with a finite slope $p$-adic family of modular forms. We prove that the Lie algebra of its image contains a congruence Lie subalgebra of a non-trivial level.
Conti, Andrea+2 more
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From environments to representations—a mathematical theory of artificial perceptions
AbstractPerception is the recognition of elements and events in the environment, usually through integration of sensory impressions. It is considered here as a broad, high-level, object centered, phenomenon which happens at and above the level of holistic recognition of objects and events, where semantics begin to play a role.
Z. Arzi-Gonczarowski, Daniel Lehmann
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Representation Theory of Quivers and Finite Dimensional Algebras [PDF]
Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics.
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Using Valsiner Theory To Enhance Mathematical Representation Ability
The purpose of this research was to determine the upgrade mathematical representations of college students using learning based theory Valsiner better than the ability of mathematical representations of students who use conventional learning models and know the rest of the indicator to which students have difficulty in solving problems ability ...
Sri Tirto Madawistama+2 more
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Experimental Mathematics and Mathematical Physics [PDF]
One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the
arxiv +1 more source
Aspects of theory on semiotics representations registers expressed by graduates in mathematics
In this paper, we seek to analyze responses given by a group of graduates in Natural Sciences and Mathematics, specialization in Mathematics (NSM-SM) from the Federal University of Mato Grosso, Campus of Sinop, compared to a set of four episodes adapted by us from what is shown by Maranhão & Igliori (2003), Duval (2009, 2011, 2011b) that deal with ...
Eberson Paulo Trevisan, J. L. M. Freitas
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Some problems in mathematics and mathematical physics [PDF]
We discuss new approaches to fundamental problems of mathematics and mathematical physics such as mathematical foundation of quantum field theory, the Riemann hypothesis, and construction of noncommutative algebraic geometry.
arxiv
Report on "Geometry and representation theory of tensors for computer science, statistics and other areas." [PDF]
This is a technical report on the proceedings of the workshop held July 21 to July 25, 2008 at the American Institute of Mathematics, Palo Alto, California, organized by Joseph Landsberg, Lek-Heng Lim, Jason Morton, and Jerzy Weyman. We include a list of
Oeding, Luke
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