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The Invariant Theory of Matrices
, 2017 This book gives a unified, complete, and self-contained exposition of the main algebraic theorems of invariant theory for matrices in a characteristic free approach. More precisely, it contains the description of polynomial functions in several variables on the set of matrices with coefficients in an infinite field or even the ring of integers ...
Corrado, De Concini, Procesi, Claudio
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Invariants and paradigms of concurrency theory
Future Generation Computer Systems, 1991We introduce a new invariant semantics of concurrent systems which is a direct generalisation of the causal partial order semantics. Our new semantics overcomes some of the problems encountered when one uses causal partial orders alone. We discuss various aspects of the new invariant model.
Janicki R, Koutny M
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, 1987 This volume of expository papers is the outgrowth of a conference in combinatorics and invariant theory. In recent years, newly developed techniques from algebraic geometry and combinatorics have been applied with great success to some of the outstanding
Koh, Sebastian
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Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, 2008
Invariant theory can be put in a very general context: If “∼” is an equivalence relation on a set X, then an invariant is a function on X which is constant on every equivalence class. So invariants serve to parametrize equivalence classes. The goals of invariant theory are to find all invariants that meet some further restrictions (such as continuity ...
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Invariant theory can be put in a very general context: If “∼” is an equivalence relation on a set X, then an invariant is a function on X which is constant on every equivalence class. So invariants serve to parametrize equivalence classes. The goals of invariant theory are to find all invariants that meet some further restrictions (such as continuity ...
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THE CONSTRUCTIVE THEORY OF INVARIANTS
Mathematics of the USSR-Izvestiya, 1982In this paper we find an explicit upper bound on the number of elements of a minimal homogeneous system of generators of the algebra of invariants of an arbitrary connected semisimple linear group over an algebraically closed field of characteristic zero. We also show that the approach to the solution of this problem proposed by Dieudonn?
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SYZYGIES IN THE THEORY OF INVARIANTS
Mathematics of the USSR-Izvestiya, 1984Let G be a connected semisimple algebraic group over an algebraically closed field k of zero characteristic. If G acts linearly on a finite- dimensional vector space V over k, we have the algebra \(k[V]^ G\) of polynomial invariants. By Hilbert's syzygy theorem, the homological dimension hd k[V]\({}^ G\) is finite.
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On an Application of the Theory of Invariants
Journal of Mathematical Physics, 1972The problem of finding highest-weight polynomials in certain chains of subgroups of the unitary group is shown to be related to finding semi-invariants of certain ground forms according to the theory of invariants developed by mathematicians long ago.
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III.—The Invariant Theory of the Correlation
Proceedings of the Royal Society of Edinburgh, 1936Beyond the ternary and quaternary cases considered by Clebsch (1891) and Weitzenböck (1910), there appears to be no writing on the bilinear form in cogredient variables—the correlation—from the point of view of the projective invariant theory.
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1995
The world is very complicated and it is clearly impossible for the human mind to understand it completely. Man has therefore devised an artifice which permits the complicated nature of the world to be blamed on something which is called accidental and thus permits him to abstract a domain in which simple laws can be found.
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The world is very complicated and it is clearly impossible for the human mind to understand it completely. Man has therefore devised an artifice which permits the complicated nature of the world to be blamed on something which is called accidental and thus permits him to abstract a domain in which simple laws can be found.
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, 2007 This book presents the characteristic zero invariant theory of finite groups acting linearly on polynomial algebras. The author assumes basic knowledge of groups and rings, and introduces more advanced methods from commutative algebra along the way.
Neusel, Mara D
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