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Different versions for defining Ashtekar's generalized connections are investigated depending on the chosen smoothness category for the paths and graphs -- the label set for the projective limit. Our definition covers the analytic case as…

Mathematical Physics · Physics 2007-05-23 Christian Fleischhack

In this paper, we consider a matroid generalization of the stable matching problem. In particular, we consider the setting where preferences may contain ties. For this generalization, we propose a polynomial-time algorithm for the problem…

Computer Science and Game Theory · Computer Science 2026-01-19 Naoyuki Kamiyama

We generalize the concept of the group determinant and prove a necessary and sufficient novel condition for a subset to be a subgroup. This development is based on the group determinant work by Edward Formanek, David Sibley, and Richard…

Representation Theory · Mathematics 2023-03-03 Naoya Yamaguchi , Yuka Yamaguchi

In this paper we discuss generalized group, provides some interesting examples. Further we introduce a generalized module as a module like structure obtained from a generalized group and discuss some of its properties and we also describes…

General Mathematics · Mathematics 2020-10-13 P. G. Romeo , Sneha K K

We develop a comprehensive theory of the stable representation categories of several sequences of groups, including the classical and symmetric groups, and their relation to the unstable categories. An important component of this theory is…

Representation Theory · Mathematics 2015-06-17 Steven V Sam , Andrew Snowden

A linear map between two vector spaces has a very important characteristic: a determinant. In modern theory two generalizations of linear maps are intensively used: to linear complexes (the nilpotent chains of linear maps) and to non-linear…

Mathematical Physics · Physics 2015-05-13 A. Anokhina , A. Morozov , Sh. Shakirov

A generalized definition of the determinant of matrices is given, which is compatible with the usual determinant for square matrices and keeps many important properties, such as being an alternating multilinear function, keeping…

Classical Analysis and ODEs · Mathematics 2021-12-01 Xuesong Lu , Songtao Mao , Zixing Wang , Yuehui Zhang

We show that the permanent of a matrix is a linear combination of determinants of block diagonal matrices which are simple functions of the original matrix. To prove this, we first show a more general identity involving \alpha-permanents:…

Combinatorics · Mathematics 2013-04-08 Harry Crane

A generalization of Hurwitz stable polynomials to real rational functions is considered. We establishe an analogue of the Hurwitz stability criterion for rational functions and introduce a new type of determinants that can be treated as a…

Classical Analysis and ODEs · Mathematics 2025-07-01 Yury S. Barkovsky , Mikhail Tyaglov

Every stationary action of a strongly irreducible lattice or commensurator of such a latiice in a general semisimple group, with at least one higher-rank connected factor, either has finite stabilizers almost surely or finite index…

Dynamical Systems · Mathematics 2022-01-05 Darren Creutz

We investigate stabilizers of finite sets of rational points in Cantor space for the Higman-Thompson groups $V_{n,r}$. We prove that the pointwise stabilizer is an iterated ascending HNN extension of $V_{n,q}$ for any $q\geq 1$. We also…

Group Theory · Mathematics 2021-04-14 James Belk , James Hyde , Francesco Matucci

The purpose of this article is to study determinants of matrices which are known as generalized Pascal triangles (see [1]). We present a factorization by expressing such a matrix as a product of a unipotent lower triangular matrix, a…

Rings and Algebras · Mathematics 2017-05-16 A. R. Moghaddamfar , S. M. H. Pooya

In this article we study a class of generalised linear systems of difference equations with given non-consistent initial conditions and infinite many solutions. We take into consideration the case that the coefficients are square constant…

Dynamical Systems · Mathematics 2016-12-14 Nicholas Apostolopoulos , Fernando Ortega , Grigoris Kalogeropoulos

Output stabilizability of a class of infinite dimensional linear systems is studied in this paper. A criterion for the system to be output stabilizable by a linear bounded feedback $u=Fx$, $F\in L(Z,\mathbb{R}^{^{p}})$ will be given.

Optimization and Control · Mathematics 2014-08-08 Faouzi Haddouchi

In this paper we study the general group classification of systems of linear second-order ordinary differential equations inspired from earlier works and recent results on the group classification of such systems. Some interesting results…

Classical Analysis and ODEs · Mathematics 2015-06-18 S. V. Meleshko , S. Moyo

In this paper, we propose a new general and stable fixed-point approach to compute the resolvents of the composition of a set-valued maximal monotone operator with a linear bounded mapping. Weak, strong and linear convergence of the…

Optimization and Control · Mathematics 2025-02-05 Samir Adly , Ba Khiet Le

In this paper we develop three different subjects. We study and prove alternative versions of Hrushovski's "Stabilizer Theorem", we generalize part of the basic theory of definably amenable NIP groups to NTP2 theories, and finally, we use…

Logic · Mathematics 2018-01-03 Samaria Montenegro , Alf Onshuus , Pierre Simon

In this note we give a definition of stable maps into the classifying stack $\BGL_r$ of the general linear group. To support our belief that the definition is the correct one, we show that there are natural boundary morphisms between the…

Algebraic Geometry · Mathematics 2007-05-23 Ivan Kausz

A permanental vector is a generalization of a vector with components that are squares of the components of a Gaussian vector, in the sense that the matrix that appears in the Laplace transform of the vector of Gaussian squares is not…

Probability · Mathematics 2011-07-07 Hana Kogan , Michael B. Marcus

We consider semi-continuity of certain dimensions on group schemes.

Algebraic Geometry · Mathematics 2022-11-21 Phillipe Gille , Robert Guralnick