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These lectures describe Hecke algebra isomorphisms and types for depth-zero principal series blocks, a.k.a. Bernstein components Rs(G) for s = sχ = [T, χe]G, where χ is a depth-zero character on T(O...
Abstract: Using the classification and description of the structure of bisimple monogenic orthodox semigroups obtained in \cite{key10}, we prove that every bisimple orthodox semigroup generated by a p...
Abstract: A partial automorphism of a semigroup $S$ is any isomorphism between its subsemigroups, and the set all partial automorphisms of $S$ with respect to composition is the inverse monoid called ...
Let Q(α) and Q(β) be algebraic number fields. We describe a new method to find (if they exist) all isomorphisms, Q(β) → Q(α). The algorithm is particularly efficient if the number of isomorphisms is o...
We examine when two maximal abelian algebras in the truncated Toeplitz operators are spatially isomorphic. This builds upon recent work of N. Sedlock, who obtained a complete description of the maxima...
Bezrukavnikov and Etingof introduced some functors between the categories O for rational Cherednik algebras. Namely, they defined two induction functors Ind_b, ind_\lambda and two restriction functors...
正> The problem of determining the automorphisms of the linear groupsand the possible isomerphisms between them was first studied by O,Schreier and v.d.Waerden[1].They determined the automerphisms ofth...
We prove the Hyers--Ulam stability of linear $N$-isometries in linear $N$-normed Banach modules over a unital $C^*$-algebra. The main purpose of this paper is to investigate $N$-isometric $C^*$-algebr...
In this paper, I have considered some problems of algebraic curves in some constructive way, especially, I give an algorithm for determining whether two given smooth plane curves are isomorphic and fi...

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