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It is shown that the quantized Teichm"uller spaces have factorization properties like those required in the definition of a modular functor.

Quantum Algebra · Mathematics 2007-05-23 J. Teschner

We generalize Pappus chain theorem and give an analogue to this theorem.

History and Overview · Mathematics 2018-06-04 Hiroshi Okumura

We reduced the classification of arithmetic fake compact Hermitian symmetric spaces of type $A_3$ to a few cases.

Algebraic Geometry · Mathematics 2023-06-19 Gopal Prasad , Sai-Kee Yeung

We exhibit isomorphisms of Grassmann spaces and their relationship with collineations and embeddings of the underlying projective spaces.

Algebraic Geometry · Mathematics 2024-03-19 Hans Havlicek

In this paper, we propose a new approach to Cwikel estimates both for the Euclidean space and for the noncommutative Euclidean space.

Operator Algebras · Mathematics 2019-09-18 Galina Levitina , Fedor Sukochev , Dmitriy Zanin

We study varieties $\mathcal{A}_n$ arising as equivariant compactifications of the space of $n$ points in $\mathbb{C}$ up to overall translation. We define $\mathcal{A}_n$ and examine its basic geometric properties before constructing an…

Algebraic Geometry · Mathematics 2024-03-26 Antonios-Alexandros Robotis

We define and prove characterizations of Hardy-Orlicz spaces of conformal densities.

Classical Analysis and ODEs · Mathematics 2015-02-10 Sita Benedict

We prove uniqueness of equivariant harmonic maps into irreducible symmetric spaces of non-compact type and Euclidean buildings associated to isometric actions by Zariski dense subgroups.

Differential Geometry · Mathematics 2022-04-20 Georgios Daskalopoulos , Chikako Mese

In the present paper it is shown that the Dirac electron theory is the approximation of the special nonlinear electromagnetic field theory

Quantum Physics · Physics 2007-05-23 Alexander G. Kyriakos

We survey commutative and non-commutative analogs of uniform algebras in the Archimedean settings and also offer some non-Archimedean examples. Constraints on the development of non-complex uniform algebras are also discussed.

Functional Analysis · Mathematics 2010-10-22 Jonathan Mason

We determine what should correspond to the Dirac operator on certain quantized hermitian symmetric spaces and what its properties are. A new insight into the quantized wave operator is obtained.

Quantum Algebra · Mathematics 2007-05-23 Hans Plesner Jakobsen

We describe in this short article the associate and dual (conjugate) spaces to the Grand Lebesgue Spaces by means of its embedding to the suitable exponential Orlicz ones.

Functional Analysis · Mathematics 2017-12-05 E. Ostrovsky , L. Sirota

The question of the existence of Universal homotopy commutative and homotopy associative H-spaces (called Abelian H-spaces) is studied. Such a space T(X) would prolong a map from X into an Abelian H-space to a unique H-map from T into X.…

Algebraic Topology · Mathematics 2011-02-07 Brayton Gray

This note extends the invariant defined in "An invariant of metric spaces under bornologous equivalences" to the coarse category.

Metric Geometry · Mathematics 2024-03-20 Addison Fox , Brendon LaBuz , Robert Laskowsky

We present an abstract approach to the abscissas of convergence of vector-valued Dirichlet series. As a consequence we deduce that the abscissas for Hardy spaces of Dirichlet series are all equal. We also introduce and study weak versions…

Functional Analysis · Mathematics 2019-03-21 Andreas Defant , Antonio Pérez , Pablo Sevilla-Peris

We give an elementary proof of an analogue of Fej\'er's theorem in weighted Dirichlet spaces with superharmonic weights. This provides a simple way of seeing that polynomials are dense in such spaces.

Complex Variables · Mathematics 2020-11-06 Javad Mashreghi , Thomas Ransford

We introduce a notion of quadratic duality for chiral algebras. This can be viewed as a chiral version of the usual quadratic duality for quadratic associative algebras. We study the relationship between this duality notion and the…

Quantum Algebra · Mathematics 2022-12-22 Zhengping Gui , Si Li , Keyou Zeng

We prove that the category of Stein spaces and holomorphic maps is anti-equivalent to the category of Stein algebras and $\mathbb{C}$-algebra morphisms. This removes a finite dimensionality hypothesis from a theorem of Forster.

Complex Variables · Mathematics 2026-03-03 Olivier Benoist

We consider representation spaces of quivers, together with their base change action, and classify the spherical varieties among them.

Representation Theory · Mathematics 2025-09-29 Jennifer Müller , Markus Reineke

In this work, bi-para-complex analogue of Lagrangian and Hamiltonian systems was introduced on Lagrangian distributions. Yet, the geometric and physical results related to bi-para-dynamical systems were also presented.

Mathematical Physics · Physics 2009-01-09 Mehmet Tekkoyun , Murat Sari