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Unilateral incentive alignment in two-agent stochastic games. [PDF]
Proc Natl Acad Sci U S AMcAvoy A +7 more
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A-codimensions and a-cocharacters
Israel Journal of Mathematics, 2003Let \(A_n\) be the \(n\)-th alternating group, and consider its group algebra \(FA_n\) as a subalgebra of \(FS_n\) over an algebraically closed field \(F\) of characteristic 0. One identifies \(FS_n\) with the \(F\)-space of all multilinear polynomials in \(x_1,\dots,x_n\) in the free associative algebra over \(F\).
Amitai Regev, A. Henke
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Codimensions and trace codimensions of matrices are asymptotically equal
Israel Journal of Mathematics, 1984In a sequence of papers the author has obtained important results on codimensions and cocharacters of T-ideals over a field of characteristic zero. The main theorem in the paper under review claims that the codimensions of the \(k\times k\) matrix algebra \(F_ k\) are asymptotically equal to the trace codimensions: \(c_ n(F_ k)\cong t_ n(F_ k)\cong s(n)
Amitai Regev, Amitai Regev
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On Mappings of Finite Codimension [PDF]
Proceedings of the London Mathematical Society, 1985 The author studies abstract conditions on the pair (dim N,dim P) under which the set of \(C^{\infty}\)-stable maps \(N\to P\) is not dense in \(C^{\infty}(N,P)\), and also conditions under which there are no \(C^{\infty}\)-stable maps in a given homotopy class of maps \(N\to P\).
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Involution codimensions and trace codimensions of matrices are asymptotically equal
Israel Journal of Mathematics, 1996Let \((M_p(F),*)\) be the \(p\times p\) matrix algebra with transpose or symplectic involution over a field \(F\) of characteristic 0. Important invariants of the \(*\)-polynomial identities of \((M_p(F),*)\) are the sequences of ordinary and trace \(*\)-codimensions.
Allan Berele +3 more
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Unknotting tori in codimension one and spheres in codimension two
Mathematical Proceedings of the Cambridge Philosophical Society, 1965We shall present this paper in the framework and terminology of differential topology though all our arguments are valid in the piecewise linear ease also, under local un-knottedness hypotheses. In particular we use Rp for Euclidean space of dimension p, Sp−1 for the standard unit sphere in it, and Dp for the disc which it bounds.
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Codimension and analytic spread
Mathematical Proceedings of the Cambridge Philosophical Society, 1972In this paper, I shall establish the sufficiency of certain conditions on an ideal A of a local ring Q, and on a set {g1 …,gk} of elements of Q generating a proper ideal G, for the ideals A and G to be analytically disjoint. Hence I shall establish an upper bound for the analytic spread of A.The maximal ideal of Q will be denoted throughout by M, and ...
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The codimensions of aPi-algebra
Israel Journal of Mathematics, 1972We simplify the numerical calculations given in a previous paper by Regev and obtain a much better estimation for the sequence of codimensions of aPI-algebra.
A. Regev, Abraham A. Klein
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1985
The main purpose of this chapter is to classify all bifurcation problems (in one state variable) of codimension three or less. We find that there are eleven such singularities, which we call the elementary bifurcation problems. In the course of the chapter, we tabulate the following data for each of these eleven singularities: (i) Normal form ...
Martin Golubitsky, David G. Schaeffer
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The main purpose of this chapter is to classify all bifurcation problems (in one state variable) of codimension three or less. We find that there are eleven such singularities, which we call the elementary bifurcation problems. In the course of the chapter, we tabulate the following data for each of these eleven singularities: (i) Normal form ...
Martin Golubitsky, David G. Schaeffer
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On quadrics of higher codimension
Mathematical Notes, 1994\textit{V. V. Ezov} and \textit{G. Schmalz}: [in the work ``A matrix Poincaré formula for holomorphic automorphisms of real associative quadrics'' (preprint)] selected quadrics, called RAQ quadrics, from all \((n,n)\)-quadrics. One has obtained a formula for the automorphisms of RAQ quadrics, preserving the origin.
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