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This presentation explains why models with a dynamical symmetry often work extraordinarily well even in the presence of large symmetry breaking interactions. A model may be a caricature of a more realistic system with a "quasi-dynamical"…

Nuclear Theory · Physics 2011-06-09 D. J. Rowe

We prove a rigidity theorem that shows that, under many circumstances, quasi-isometric embeddings of equal rank, higher rank symmetric spaces are close to isometric embeddings. We also produce some surprising examples of quasi-isometric…

Differential Geometry · Mathematics 2018-06-13 David Fisher , Kevin Whyte

We present a method to construct induced representations of quantum algebras having the structure of bicrossproduct. We apply this procedure to some quantum kinematical algebras in (1+1)--dimensions with this kind of structure: null-plane…

Quantum Algebra · Mathematics 2009-11-07 O. Arratia , M. A. del Olmo

In the present paper we prove the compactness theorem with respect to partial structures and quasi-truth, using the technique of ultraproducts. Partial structures and quasi-truth are two notions developed within the partial structures…

Logic · Mathematics 2024-05-20 Rodolfo Cunha Carnier

We show that any semiartinian subdirectly irreducible *-regular ring R admits a representation within some inner product space.

Rings and Algebras · Mathematics 2024-09-26 Christian Herrmann

The notion of quasi-unit has been introduced by Yosida in unital Riesz spaces. Later on, a fruitful potential theoretic generalization was obtained by Arsove and Leutwiler. Due to the work of Eriksson and Leutwiler, this notion also turned…

Functional Analysis · Mathematics 2018-01-03 Zsigmond Tarcsay , Tamás Titkos

Most model-free reinforcement learning methods leverage state representations (embeddings) for generalization, but either ignore structure in the space of actions or assume the structure is provided a priori. We show how a policy can be…

Machine Learning · Computer Science 2019-05-16 Yash Chandak , Georgios Theocharous , James Kostas , Scott Jordan , Philip S. Thomas

A quantitative model of concurrent interaction is introduced. The basic objects are linear combinations of partial order relations, acted upon by a group of permutations that represents potential non-determinism in synchronisation. This…

Logic in Computer Science · Computer Science 2011-07-08 Emmanuel Beffara

We consider several weaker versions of the notion of conjugacy and orbit equivalence of measure preserving actions of countable groups on probability spaces, involving equivalence of the ultrapower actions and asymptotic intertwining…

Operator Algebras · Mathematics 2016-08-24 Andreas Aaserud , Sorin Popa

We introduce the concept of a quasiresiduated lattice and prove that every lattice effect algebra can be organized into a commutative quasiresiduated lattice with divisibility. Also conversely, every such a lattice can be converted into a…

Logic · Mathematics 2019-05-15 Ivan Chajda , Helmut Länger

We present a refinement of the Calculus of Inductive Constructions in which one can easily define a notion of relational parametricity. It provides a new way to automate proofs in an interactive theorem prover like Coq.

Logic in Computer Science · Computer Science 2012-11-28 Chantal Keller , Marc Lasson

We study unitary representations of semidirect products of a compact quantum group with a finite group. We give a classification of all irreducible unitary representations, a description of the conjugate representation of irreducible…

Operator Algebras · Mathematics 2020-09-28 Hua Wang

Using the concept of mixable shuffles, we formulate explicitly the quantum quasi-shuffle product. We also provide a desirable description of the subalgebra generated by the set of primitive elements of the quantum quasi-shuffle bialgebra. A…

Quantum Algebra · Mathematics 2011-12-06 Run-Qiang Jian

Semi-direct products of finite groups have permutation representations that are constructed from the permutation representations of their constituents. One can envision these in a metaphoric sense in which a rope is made from a bundle of…

Geometric Topology · Mathematics 2022-04-25 Yongju Bae , J. Scott Carter , Byeorhi Kim

We study the representations of the quantum Galilei group by a suitable generalization of the Kirillov method on spaces of non commutative functions. On these spaces we determine a quasi-invariant measure with respect to the action of the…

q-alg · Mathematics 2008-02-03 F. Bonechi , R. Giachetti , E. Sorace , M. Tarlini

This note presents an application of the quasi-conform transformation in surveying.

Geophysics · Physics 2011-12-20 Abdelmajid Ben Hadj Salem

We show that the product of any number of sequentially pseudocompact topological spaces is still sequentially pseudocompact. The definition of sequential pseudocompactness can be given in (at least) two ways: we show their equivalence. Some…

General Topology · Mathematics 2016-04-19 Paolo Lipparini

In the context of finite tensor products of Hilbert spaces, we prove that similarity of a tensor product of operator semigroups to a contraction semigroup is equivalent to the corresponding similarity for each factor, after an appropriate…

Functional Analysis · Mathematics 2025-09-04 J. Oliva-Maza , Y. Tomilov

Bisets can be considered as categories. This note uses this point of view to give a simple proof of a Mackey-like formula expressing the tensor product of two induced bimodules.

Group Theory · Mathematics 2009-03-03 Serge Bouc

We discuss the relationship between tight and cover-to-join representations of semilattices and inverse semigroups, showing that a slight extension of the former, together with an appropriate selection of co-domains, makes the two notions…

Operator Algebras · Mathematics 2019-03-08 Ruy Exel