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Defining an Affine Partition Algebra
We define an affine partition algebra by generators and relations and prove a variety of basic results regarding this new algebra analogous to those...
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Banach function algebras
In this chapter, we shall concentrate on commutative Banach algebras, especially on commutative, semisimple Banach algebras, identified with Banach...
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Spectral MV-algebras and equispectrality
In this paper we study the set of MV-algebras with given prime spectrum and we introduce the class of spectral MV-algebras. An MV-algebra is spectral...
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Defect in cyclotomic Hecke algebras
The complexity of a block of a symmetric algebra can be measured by the notion of defect, a numerical datum associated with each of the simple...
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Character Sheaves for Classical Graded Lie Algebras
In this note we study character sheaves for graded Lie algebras arising from inner automorphisms of special linear groups and Vinberg’s type II...
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\(C^*\) -Algebras
\(C^*\) -algebras are to Banach algebras what Hilbert spaces...
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Cellularity and subdivision of KLR and weighted KLRW algebras
Weighted KLRW algebras are diagram algebras generalizing KLR algebras. This paper undertakes a systematic study of these algebras culminating in the...
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On Algebras of Finite General Representation Type
We introduce the notion of “finite general representation type” for a finite-dimensional algebra, a property related to the “dense orbit property”...
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Homotopy prefactorization algebras
We apply the theory of operadic Koszul duality to provide a cofibrant resolution of the colored operad whose algebras are prefactorization algebras...
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Dimer Algebras, Ghor Algebras, and Cyclic Contractions
A ghor algebra is the path algebra of a dimer quiver on a surface, modulo relations that come from the perfect matchings of its quiver. Such algebras...
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Questions on cardinal invariants of Boolean algebras
In the book Cardinal Invariants on Boolean Algebras by J. Donald Monk many such cardinal functions are defined and studied. Among them several are...
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SYMPLECTIC DIRAC OPERATORS FOR LIE ALGEBRAS AND GRADED HECKE ALGEBRAS
The aim of this paper is to define a pair of symplectic Dirac operators ( D + , D – ) in an algebraic setting motivated by the analogy with the algebraic...
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Quantum N-toroidal Algebras and Extended Quantized GIM Algebras of N-fold Affinization
We introduce the notion of quantum N -toroidal algebras as natural generalization of the quantum toroidal algebras as well as extended quantized GIM...
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Homological Ideals as Integer Specializations of Some Brauer Configuration Algebras
The homological ideals associated with some Nakayama algebras are characterized and enumerated via integer specializations of some suitable Brauer...
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On the Hilbert Evolution Algebras of a Graph
Evolution algebras are a special class of nonassociative algebras exhibiting connections with various fields of mathematics. Hilbert evolution...
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Rokhlin-Type Properties of Group Actions on Operator Algebras
We give a survey of Rokhlin-type properties of group actions on operator algebras. Though we briefly review the classification of group actions on...
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Zelevinsky Involution and Degenerate Affine Hecke—Clifford Algebras
We define an analog of Zelevinsky involution on degenerate affine Hecke—Clifford algebras and give an algorithm to compute its action on irreducible...