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TOPOLOGICAL NOETHERIANITY FOR ALGEBRAIC REPRESENTATIONS OF INFINITE RANK CLASSICAL GROUPS
Draisma recently proved that polynomial representations of GL ∞ are topologically noetherian. We generalize this result to algebraic representations...
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Formations of inverse semigroups
This article explores a generalisation of the theory of formations of groups. Taking formations of groups as the starting point, formations of...
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Characterizations of Majority Categories
In universal algebra, it is well known that varieties admitting a majority term admit several Mal’tsev-type characterizations. The main aim of this...
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On Well-Founded and Recursive Coalgebras
This paper studies fundamental questions concerning category-theoretic models of induction and recursion. We are concerned with the relationship...
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Donaldson–Thomas invariants from tropical disks
We prove that the quantum DT-invariants associated to quivers with genteel potential can be expressed in terms of certain refined counts of tropical...
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On sheaf cohomology and natural expansions
In this survey paper, we present Čech and sheaf cohomologies—themes that were presented by Koszul at University of São Paulo (Faisceaux et...
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Dilation Theory: A Guided Tour
Dilation theory is a paradigm for studying operators by way of exhibiting an operator as a compression of another operator which is in some sense...
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The Ramsey and the Ordering Property for Classes of Lattices and Semilattices
The class of finite distributive lattices, as many other classes of structures, does not have the Ramsey property. It is quite common, though, that...
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Well-quasi-ordering and Embeddability of Relational Structures
At the end of the forties, Fraïssé, following Cantor, Hausdorff and Sierpinski, highlighted the role of the embeddability quasi-order in the theory...
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The p-Canonical Basis
Given a generalized Cartan matrix and an associated realization over \(\mathbb {Z}\) , one obtains by base change a realization of the Weyl...
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Abstraction: Mathematics Since the Twentieth Century
The revolutions in mathematics in the nineteenth century paved the way for rapid development and unprecedented expansion in mathematics in the...
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Structure theory of regular semigroups
This survey aims to give an overview of several substantial developments of the last 50 years in the structure theory of regular semigroups and to...
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SHEAVES ON THE ALCOVES AND MODULAR REPRESENTATIONS II
We relate the category of sheaves on alcoves that was constructed in [FL1] to the representation theory of reductive algebraic groups. In particular,...
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Admissible closure operators and varieties of semilattice-ordered normal bands
It is known that varieties of semilattice-ordered semigroups are in one-to-one correspondence with the ordered pairs ( ρ , [ ]) where ρ is a fully...
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Primitive Ideals of \({\mathrm {U}}(\mathfrak {sl}(\infty ))\) and the Robinson–Schensted Algorithm at Infinity
We present an algorithm which computes the annihilator in...