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Groups, Rings, Group Rings, and Hopf Algebras.

This volume contains the proceedings of the International Conference on Groups, Rings, Group Rings, and Hopf Algebras, held October 2-4, 2015 at Loyola University, Chicago, IL, and the AMS Special Session on Groups, Rings, Group Rings, and Hopf Algebras, held October 3-4, 2015, at Loyola University,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Chin, William
Otros Autores: Bergen, Jeffrey, Catoiu, Stefan
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2017.
Colección:Contemporary Mathematics.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Chin, William. 
245 1 0 |a Groups, Rings, Group Rings, and Hopf Algebras. 
260 |a Providence :  |b American Mathematical Society,  |c 2017. 
300 |a 1 online resource (294 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Contemporary Mathematics ;  |v v. 688 
588 0 |a Print version record. 
505 0 |a Cover; Title page; Contents; Preface; The Dixmier-Moeglin equivalence for extensions of scalars and Ore extensions; 1. Introduction; 2. The Dixmier-Moeglin equivalence under base change; 3. Linear operators on rings; 4. Proof of Theorem 1.6; Acknowledgments; References; Nagata-Higman and rings with involution; References; On left symmetric color algebras; 1. Introduction; 2. Left symmetric color algebras and nondegenerate color symmetric 2-cocycles; 3. Lifting the derivations of into the derivations of * ; Acknowledgements; References. 
505 8 |a On the automorphism group of rational group algebras of finite groups1. Introduction; 2. Preliminaries; 3. Group algebras of simple groups; 4. Non-simple groups; References; Graded simple modules and loop modules; 1. Introduction; 2. Graded simple modules; 3. Loop modules; 4. The groupoids \frM() and \frN(); 5. Graded simple modules with finite-dimensional centralizers; 6. Graded simple modules with simple centralizers; 7. Finite-dimensional graded simple modules in characteristic zero; References; Symmetric groups and fixed points on modules: An application of group theory to topology. 
505 8 |a 1. Introduction2. Theorem 2.1; 3. The norm map; References; Free unit groups in group rings and division rings: My collaboration with Don Passman; 1. Introduction; 2. Our first work; 3. The following years; 4. The proof of Theorem 3.2; 5. Involutions in group rings; 6. Our exploits in division rings; References; Group rings and Jordan decomposition; 1. Introduction; 2. Matrix Rings; 3. Group Rings; 4. Future Work; References; On the Toeplitz-Jacobson algebra and direct finiteness; 1. Introduction; 2. The results; 3. The direct finiteness conjecture and other outstanding problems. 
505 8 |a AcknowledgmentReferences; Frobenius divisibility for Hopf algebras; Introduction; 1. Symmetric Algebras; 2. Hopf Algebras; Acknowledgement; References; Generalized nil-Coxeter algebras, cocommutative algebras, and the PBW property; 1. Introduction; 2. Cocommutative algebras, smash products, and the PBW theorem; 3. Characterization via deformation theory; 4. The case of bialgebras and Hopf algebras; 5. Generalized nil-Coxeter algebras and grouplike algebras; 6. Deformations over cocommutative algebras with nilpotent maximal ideals; Acknowledgments; References; -subgroups of units in ℤ 
505 8 |a 1. Introduction2. Known results; 3. Frobenius Groups; 4. Crucial examples for simple linear groups; 5. Conjugacy in larger group rings; References; On the classification of finite-dimensional semisimple Hopf algebras; 0. Introduction; 1. Abelian extensions; 2. Structure of ²_{ }(\myk _{ }, \myk^{ }, \tl); 3. The Isomorphism Theorems; 4. Almost Abelian Hopf Algebras of Dimension \le ⁴; 5. Some old classification results revisited; 6. Appendices; References; Zero divisors in group rings of wreath products of groups; 1. Introduction.; 2. Preliminaries.; 3. The Proof of Theorem I. 
500 |a 4. Proofs of Theorems II and III. 
520 |a This volume contains the proceedings of the International Conference on Groups, Rings, Group Rings, and Hopf Algebras, held October 2-4, 2015 at Loyola University, Chicago, IL, and the AMS Special Session on Groups, Rings, Group Rings, and Hopf Algebras, held October 3-4, 2015, at Loyola University, Chicago, IL. Both conferences were held in honor of Donald S. Passman's 75th Birthday. Centered in the area of group rings and algebras, this volume contains a mixture of cutting edge research topics in group theory, ring theory, algebras and their representations, Hopf algebras and quantum groups. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Group algebras  |v Congresses. 
650 0 |a Group rings  |v Congresses. 
650 0 |a Hopf algebras  |v Congresses. 
650 4 |a Associative rings and algebras  |x Rings and algebras with additional structure  |x Rings and algebras with additional structure. 
650 6 |a Algèbres de groupes  |v Congrès. 
650 6 |a Anneaux de groupes  |v Congrès. 
650 6 |a Algèbres de Hopf  |v Congrès. 
650 7 |a Group algebras  |2 fast 
650 7 |a Group rings  |2 fast 
650 7 |a Hopf algebras  |2 fast 
655 7 |a Conference papers and proceedings  |2 fast 
700 1 |a Bergen, Jeffrey. 
700 1 |a Catoiu, Stefan. 
700 1 |a Chin, William. 
776 0 8 |i Print version:  |a Chin, William.  |t Groups, Rings, Group Rings, and Hopf Algebras.  |d Providence : American Mathematical Society, ©2017  |z 9781470428051 
830 0 |a Contemporary Mathematics. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4908307  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL4908307 
994 |a 92  |b IZTAP