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Expanded lecture notes. Preliminary version, comments are welcome.

Combinatorics · Mathematics 2018-05-31 Bogdan Nica

This is a long introduction to the theory of "branch groups": groups acting on rooted trees which exhibit some self-similarity features in their lattice of subgroups.

Group Theory · Mathematics 2009-11-27 Laurent Bartholdi , Rostislav I. Grigorchuk , Zoran Sunik

We develop a cohomology theory of groups based on partial actions and explore its relation with the partial Schur multiplier as well as with cohomology of inverse semigroups.

Group Theory · Mathematics 2018-02-02 M. Dokuchaev , M. Khrypchenko

These are extended notes of a course given at Tulane University for the 2015 Clifford Lectures. Their aim is to present structure results for group schemes of finite type over a field, with applications to Picard varieties and automorphism…

Algebraic Geometry · Mathematics 2016-12-13 Michel Brion

I offer a brief summary, with commentary, of theoretical contributions to Moriond QCD 2008.

High Energy Physics - Phenomenology · Physics 2008-10-09 Chris Quigg

In this paper we introduce the concept of generalized vector groupoid. Several properties of them are established.

Group Theory · Mathematics 2011-01-10 Vasile Poputa , Gheorghe Ivan

This is an account of the theory of inverse semigroups, assuming only that the reader knows the basics of semigroup theory.

Category Theory · Mathematics 2023-06-27 Mark V. Lawson

This paper is a short introduction to orthogonal polynomials, both the general theory and some special classes. It ends with some remarks about the usage of computer algebra for this theory.

Classical Analysis and ODEs · Mathematics 2021-11-12 Tom H. Koornwinder

The note complements topological aspects of the theory of chiral algebras.

Quantum Algebra · Mathematics 2007-11-19 A. Beilinson

In this course we introduce the main notions relative to the classical theory of modular forms. A complete treatise in a similar style can be found in the author's book joint with F. Str{\"o}mberg [1].

Number Theory · Mathematics 2018-10-01 Henri Cohen

This very short correction notes a gap in an argument of an earlier paper, and also provides a theorem of similar flavor to the main result of that paper.

Group Theory · Mathematics 2022-09-27 Samuel M. Corson

This is brief and hopefully friendly, with basic notions, a few different perspectives, and references with more information in various directions.

Classical Analysis and ODEs · Mathematics 2007-05-23 Stephen Semmes

In this paper, we study connections between the structure of a group and the structure of the group (under pointwise product) of its polynomial functions.

Group Theory · Mathematics 2007-05-23 G. Endimioni

Observations on rational Chow groups and cycle class maps in equivariant contexts.

Algebraic Geometry · Mathematics 2015-08-11 Rahbar Virk

A new picture of Quantum Mechanics based on the theory of groupoids is presented. This picture provides the mathematical background for Schwinger's algebra of selective measurements and helps to understand its scope and eventual…

Mathematical Physics · Physics 2019-09-17 Florio M. Ciaglia , Alberto Ibort , Giuseppe Marmo

This is a largely expository paper about how groups arise or are of interest in model theory. Included are the following topics: classifying groups definable in specific structures or theories and the relation to algebraic groups, groups…

Logic · Mathematics 2021-09-10 Anand Pillay

This article contains a basic introduction to the local study of finite groups, including a brief perspective on the theory of fusion systems and $p$-local finite groups. -- Este art\'iculo contiene una introducci\'on b\'asica al estudio…

Group Theory · Mathematics 2024-11-12 José Cantarero

The algebraic part of approach to groupoids started by S. Zakrzewski is presented.

Group Theory · Mathematics 2013-11-18 Piotr Stachura

We give a short introduction to category theory aimed at philosophers. We emphasize methodological issues and philosophical ramifications.

Category Theory · Mathematics 2012-01-26 Samson Abramsky

We define a Schur-Clifford subgroup of Turull's Brauer-Clifford group, similar to the Schur subgroup of the Brauer group. The Schur-Clifford subgroup contains exactly the equivalence classes coming from the intended application to Clifford…

Group Theory · Mathematics 2016-04-26 Frieder Ladisch