Results 31 to 40 of about 511,555 (281)
Universal Framework for Quantum Error-Correcting Codes
Entropy, 2021 We present a universal framework for quantum error-correcting codes, i.e., a framework that applies to the most general quantum error-correcting codes. This framework is based on the group algebra, an algebraic notation associated with nice error bases ...
Zhuo Li, Lijuan Xing
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On Dunkl angular momenta algebra [PDF]
, 2015 We consider the quantum angular momentum generators, deformed by means of the Dunkl operators. Together with the reflection operators they generate a subalgebra in the rational Cherednik algebra associated with a finite real reflection group. We find all
Feigin, Misha, Hakobyan, Tigran
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Toroidal Algebraic Groups [PDF]
Proceedings of the American Mathematical Society, 1961 Many of the more striking elementary properties of abelian varieties generalize to other kinds of algebraic groups, e.g. tori, i.e. direct products of multiplicative groups Gm, and in fact to extensions of tori by abelian varieties. This seems to have been more or less known for some time, but explicit statements are hard to find, a lack we attempt to ...
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Speed of convergence of complementary probabilities on finite group
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021 Let function P be a probability on a finite group G, i.e. $P(g)\geq0\ $ $(g\in G),\ \sum\limits_{g}P(g)=1$ (we write $\sum\limits_{g}$ instead of $\sum\limits_{g\in G})$.
Alexander Vyshnevetskiy
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Group C*-algebras as decreasing intersection of nuclear C*-algebras
, 2016 We prove that for every exact discrete group $\Gamma$, there is an intermediate C*-algebra between the reduced group C*-algebra and the intersection of the group von Neumann algebra and the uniform Roe algebra which is realized as the intersection of a ...
Suzuki, Yuhei
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Indian Journal of Pure and Applied Mathematics, 2012 Let \(KG\) be the group ring of a group \(G\) over a ring \(K\). An element \(\alpha\in KG\) is said to be algebraic over \(K\) if there exists a non-constant polynomial \(f(x)\in K[x]\) such that \(f(\alpha)=0\). In this paper the author makes a survey of the main results in the theory of group rings for algebraic elements which are obtained in recent
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Algebraic automorphism groups [PDF]
Illinois Journal of Mathematics, 1975 For an algebraic group G, let W(G) denote the group of all algebraic group automorphisms of G. In this chapter, we examine the possibility of endowing W(G) with the structure of an algebraic group in such a way that G becomes a strict W(G)-variety. The example of a toroid of dimension greater than 1 shows that this is not always possible. However, good
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An extension and a generalization of Dedekind's theorem [PDF]
International Journal of Group Theory, 2017 For any given finite abelian group, we give factorizations of the group determinant in the group algebra of any subgroups. The factorizations is an extension of Dedekind's theorem. The extension leads to a generalization of Dedekind's theorem.
Naoya Yamaguchi
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Algebraic (2, 2)-transformation groups [PDF]
Journal of Group Theory, 2009 This paper contains the more significant part of the article with the same title that will appear in the Volume 12 of Journal of Group Theory (2009). In this paper we determine all algebraic transformation groups $G$, defined over an algebraically closed field $\sf k$, which operate transitively, but not primitively, on a variety $ $, provided the ...
BARTOLONE, Claudio +2 more
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International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 more
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