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Einstein aggregation operators for multicriteria group decision making in uncertain environments using cubic picture fuzzy sets. [PDF]
Tanoli MNK +5 more
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Derivation Algebra in Noncommutative Group Algebras
Proceedings of the Steklov Institute of Mathematics, 2020The paper udner review deals with the study, for a generally infinite non-commutative discrete group \(G\), of the derivation algebras in the group algebra of \(G\) in terms of characters on a groupoid associated with the group. Necessary conditions are obtained for a character to define a derivation.
Andronick A. Arutyunov
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On the coherence of one-relator groups and their group algebras
Annals of Mathematics, 2023We prove that one-relator groups are coherent, solving a well-known problem of Gilbert Baumslag. Our proof strategy is readily applicable to many classes of groups of cohomological dimension two.
A. Jaikin‐Zapirain, Marco Linton
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Summands of finite group algebras
Czechoslovak Mathematical Journal, 2020We study the inverse problem of the determination of a group algebra from the knowledge of its Wedderburn decomposition. We show that a certain class of matrix rings always occur as summands of finite group algebras.
C. Dietzel, Gaurav Mittal
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Oberwolfach Reports, 2010
The workshop dealt with a broad range of topics from the structure theory and the representation theory of algebraic groups (in the widest sense). There was emphasis on the following areas:• classical and quantum cohomology of homogeneous varieties,• representation theory and its connections to orbits and flag varieties.
Michel Brion, Jens Carsten Jantzen
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The workshop dealt with a broad range of topics from the structure theory and the representation theory of algebraic groups (in the widest sense). There was emphasis on the following areas:• classical and quantum cohomology of homogeneous varieties,• representation theory and its connections to orbits and flag varieties.
Michel Brion, Jens Carsten Jantzen
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Abelian Codes in Principal Ideal Group Algebras
IEEE Transactions on Information Theory, 2013We study abelian codes in principal ideal group algebras (PIGAs). We first give an algebraic characterization of abelian codes in any group algebra and provide some general results.
Somphong Jitman +3 more
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Smooth Fourier multipliers in group algebras via Sobolev dimension
, 2015We investigate Fourier multipliers with smooth symbols defined over locally compact Hausdorff groups. Our main results in this paper establish new H\"ormander-Mikhlin criteria for spectral and non-spectral multipliers.
A. Gonz'alez-P'erez +2 more
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Mathematical Notes, 2005
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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PBW Deformations of Skew Group Algebras in Positive Characteristic
, 2013We investigate deformations of a skew group algebra that arise from a finite group acting on a polynomial ring. When the characteristic of the underlying field divides the order of the group, a new type of deformation emerges that does not occur in ...
A. V. Shepler, S. Witherspoon
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Oberwolfach Reports, 2022
Linear algebraic groups is an active research area in contemporary mathematics. It has rich connections to algebraic geometry, representation theory, algebraic combinatorics, number theory, algebraic topology, and differential equations. The foundations of this theory were laid by A. Borel, C. Chevalley, J.-P. Serre, T. A. Springer and J.
Corrado De Concini +2 more
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Linear algebraic groups is an active research area in contemporary mathematics. It has rich connections to algebraic geometry, representation theory, algebraic combinatorics, number theory, algebraic topology, and differential equations. The foundations of this theory were laid by A. Borel, C. Chevalley, J.-P. Serre, T. A. Springer and J.
Corrado De Concini +2 more
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