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In the Dirac approach to the generalized Hamiltonian formalism, dynamical systems with first- and second-class constraints are investigated. The classification and separation of constraints into the first- and second-class ones are…

High Energy Physics - Theory · Physics 2007-05-23 N. P. Chitaia , S. A. Gogilidze , Yu. S. Surovtsev

We present an expository overview of the monoidal structures in the category of linearly compact vector spaces. Bimonoids in this category are the natural duals of infinite-dimensional bialgebras. We classify the relations on words whose…

Combinatorics · Mathematics 2021-08-12 Eric Marberg

Quadratic descent of hermitian and skew hermitian forms over division algebras with involution of the first kind in arbitrary characteristic is investigated and a criterion, in terms of systems of quadratic forms, is obtained. A refined…

Rings and Algebras · Mathematics 2020-02-26 Amir Hossein Nokhodkar

We introduce two refinements of the class of $5/2$-groups, inspired by the classes of automorphism groups of configurations and automorphism groups of unit circulant digraphs. We show that both of these classes have the property that any…

Combinatorics · Mathematics 2023-05-22 Ted Dobson

We construct two practical algorithms for twisted conjugacy classes of polycyclic-by-finite groups. The first algorithm determines whether two elements of a group are twisted conjugate for two given endomorphisms, under the condition that…

Group Theory · Mathematics 2021-10-22 Karel Dekimpe , Sam Tertooy

The trialitarian automorphisms considered in this paper are the outer automorphisms of order 3 of adjoint classical groups of type D_4 over arbitrary fields. A one-to-one correspondence is established between their conjugacy classes and…

Group Theory · Mathematics 2011-06-28 Vladimir Chernousov , Max-Albert Knus , Jean-Pierre Tignol

Lagrangian curves in 4-space entertain intriguing relationships with second order deformation of plane curves under the special affine group and null curves in a 3-dimensional Lorentzian space form. We provide a natural affine symplectic…

Symplectic Geometry · Mathematics 2013-12-24 Emilio Musso , Evelyne Hubert

In this paper we study a class of convex sets which are called closed pseudo-cones and study a new duality of this class. It turns out that the duality characterizes closed pseudo-cones and is essentially the only possible abstract duality…

Metric Geometry · Mathematics 2023-08-15 Yun Xu , Jin Li , Gangsong Leng

We discuss that there exist at least two different choices in the signs of the induced A-infinity structures in shifting the degree of objects in an A-infinity category. We show that both of these choices are naturalin the sense that they…

Algebraic Topology · Mathematics 2018-12-03 Hiroshige Kajiura

In this paper we make two observations related to discrete torsion. First, we observe that an old obscure degree of freedom (momentum/translation shifts) in (symmetric) string orbifolds is related to discrete torsion. We point out how our…

High Energy Physics - Theory · Physics 2010-04-05 E. Sharpe

We review the most general scalar-tensor cosmological models with up to second-order derivatives in the field equations that have a fixed spatially flat de Sitter critical point independent of the material content or vacuum energy. This…

General Relativity and Quantum Cosmology · Physics 2017-04-20 Nelson J. Nunes , Prado Martin-Moruno , Francisco S. N. Lobo

We investigate the relation between Cartan decompositions of the unitary group and discrete quantum symmetries. To every Cartan decomposition there corresponds a quantum symmetry which is the identity when applied twice. As an application,…

Quantum Physics · Physics 2007-05-23 Domenico D'Alessandro , Francesca Albertini

An abstract 2nd-order evolution equation or inclusion is discretised in time in such a way that the energy is conserved at least in qualified cases, typically in the cases when the governing energy is component-wise quadratic or…

Numerical Analysis · Mathematics 2016-06-01 Tomas Roubicek , Christos G. Panagiotopoulos

We introduce a general method to construct classes of dynamical systems invariant under generalizations of the Carroll and of the Galilei groups. The method consists in starting from a space-time in $D+1$ dimensions and partitioning it in…

High Energy Physics - Theory · Physics 2018-10-31 Andrea Barducci , Roberto Casalbuoni , Joaquim Gomis

A duality between general partially ordered sets and certain topolgical spaces with two closures is established.

General Topology · Mathematics 2007-05-23 R. R. Zapatrin

We complete the discrete cluster categories of type $\mathbb{A}$ as defined by Igusa and Todorov, by embedding such a discrete cluster category inside a larger one, and then taking a certain Verdier quotient. The resulting category is a…

Representation Theory · Mathematics 2021-02-03 Charles Paquette , Emine Yildirim

Domino tilings have been studied extensively for both their statistical properties and their dynamical properties. We construct a subshift of finite type using matching rules for several types of dominos. We combine the previous results…

Dynamical Systems · Mathematics 2012-01-04 Christopher Hoffman

Let ${\mathcal P}\subset{\mathbb Z}^2$ be a convex polygon with each vertex in it labeled by an element from a finite set and such that the labeling of each vertex $v\in {\mathcal P}$ is uniquely determined by the labeling of all other…

Dynamical Systems · Mathematics 2020-04-01 John Franks , Bryna Kra

For $g \ge 5$, we give a complete classification of the connected components of strata of abelian differentials over Teichm\"uller space, establishing an analogue of Kontsevich and Zorich's classification of their components over moduli…

Geometric Topology · Mathematics 2021-06-30 Aaron Calderon , Nick Salter

Given any two sequences of complex numbers, we establish simple relations between their binomial convolution and the binomial convolution of their individual binomial transforms. We employ these relations to derive new identities involving…

Combinatorics · Mathematics 2025-12-22 Kunle Adegoke